Research Forum मीटिंग 7th October 2007

trusciencetrutechnology.blogspot.com


Research Forum meeting
trusciencetrutechnology.blogspot.com
held on 7th October 2007 at Prof EVGangadharam's place ,Flat No.405,
Bhagya Sai residency,opp century club,Visakhapatnam
The following people graced the occasion and actively participated and contributed to the
advancement of knowledge at a scientific and technological level.
First Prof.Dr. B.S.Sastry spoke about the burning issue of Global warming and suggested means of combating
the prevention of CO2 and other hazardous emissions by man made environmental degradation of the planet.
He asked to enhance the effort of planting a number of trees that would consume the CO2 emissions and reduce the danger of its global ppm level.Actively participants interacted and recent internet suggestion on this threat have been reviewed. Dr.Nori.Kurmaiah Capt A.K. Gupta, Dr.EVGangadharam and Dr.DVN Sarma have given considerable thought to the problem and mentioned their view points.
Next Dr.Nori Kurmaiah(kurmaiah@yahoo.com) gave developments that are taking place in the Electrochemistry fields, of Corrosion and Hydrogen production and Electrolysis problems of water.He said that Controlled Nuclear Experiments may agument the electrolysis of water to produce Hydrogen.Regarding problem of corrosion he said poor quality of water and in efficient maintenance and managements of wastes from Industrial firms as the major of concern. Fuel cells development needs to be looked into for hybrid use of energy. He said that recently fishermen from the sea were called back due to a possible tsunami and other low-depression threats. Thus modern technology became handy to the lower strata of society as well.
Capt AK Gupta said as majoarity of goods are transported by sea, pollution done by ships are neligible in comparision with the Industries.
ph.no. 0891 2506890/ 09440734652
Prof Gangadharam spoke about PADI, Dutch ship(from Holland) sunk years ago returning from Indonesia and Malaysia, that contained tin ingots, ivory material and old metallic guns corroded and other artefacts of ship and his findings on Marine Archeology. He appreciated Durch scientisrs for preserving the old artefacts and records in a bery meticulous manner in buildings that stretch over a few kilometers length.He detailed about the much spoken vaisakeswari temple that sunk into sea or submerged centuries ago, but affirmed that there is no clear scientific evidence of it. He wanted psychology marine architecture trials as well.
Dr.DVNSarma told about his research work with Prof C.Harold Urey at Univ of Chicago on meteroites and diamond content of them.He also retirated that the interior view of Uniberse in terms of Prana and its existence of waves of wavelength 1.72mm with the point diametr of only.27mm.He said the external space expanse of Big-Bang theories etc are distinctly different from the concept of upanishads that have an internal field aspects of universe at microscopic levels. Anothe feature he explained was that the Adam's Bridge is a man made one and the mountain link between India and Sri Lamka was not a Geological formation. Years ago from Dhanushkodi a rail was planned linkinh the two vountries on the Adam's mountain ridge of sand and stones. A sea link in the srtle of Sydney harbour bridge is feasible or the like one on Thames river in London.
Prof Dr.K.L.Narayana gave a new dimension for possible existence of materials. His explanation was based on the Uncertainity relation of Heisenberg .He termed the possible existence of Uncertain Materials as of two types "Discrete and Fuzzy". The scanned details of the Uncertain Materials will be sent by next mail.
A video was also taken of his presentation. Panel discussed by colleagues.

त्रुविज़ दत ९थ् सेप्तेम्बेर 2007

TRUWIZ Dt. 9th September 2007
In memory of Prof. K.Rangadhama Rao D.Sc. ( Madras ) D.Sc. ( London )
(9th September, 1899 - 20th June, 1972)
http://trusciencetrutechnology.blogspot.com1.A bacterium of microbial mats of Hot Springs uses for light conversion a distinctive
a). Porous gel b). Membrane c). Wafer d). Chlorophyll.
2.Cool music exchange tool and cheap telephone calls via Internet revolutionized
a).e-bay b).Kazaa c). Skype d). Joost.
3.Sudden hammering on piezoelectric ceramic in gas lighter produces
a). 600 v b) 400 c). 800v d). 40v
4. The heavy water at 0.31cm^-1 has absorption coefficient per cm
a) 5e-06 b)3e-07 c)6e-09 d).7e-09
5.MRI scanning can have enhanced NSF/NSD life threatening condition due to
a). Paramagnetic salt b) Uranium ion c). EM damage d). Gadolinium agent
6.An enzyme called PDI that can switch the geometry of S-S bonds does other jobs numbering about a) 3 b) 4 c) 5 d) 6
7Caffeine outcompetes with oxygen in reacting with electrons and prevents formation
of a).free radicals b).water molecules c).anions d).ROS
8.The papad fried in oil or roasted in microwave oven swells due to captured
a). Oil b). Decomposition c). Radiation d). Gases like CO2.
9.The AFM chromium x-ray hologram revealed that they are not at rest due to uncertainty of a). Domains b). Domain walls c). Quantum fatigue d). Tiny magnets
10.Our perception of spatial extension is based on
a).relative time.b).relative distance c).path of light d). relative displacement.
11.Fusion solution to the energy problem lies in
a). Thermonuclear reaction.b) taming plasma c). Fusion control d). Run away stability.
12.King supernova SN2006gy produced by a 150times mass of sun core gamma radiation of anti-pair particles brighter than sun by
a).1e+05 times b).1e+11times c).1e+06 d).1e+08
13.In next fifty years the technology that may become a part of life is
a). Mobile phone b). Bluetooth technology c). M2M d). Wireless net
14.The Jupiter like planet called HD 209458b about 150ly from earth has a black cloud (disputable) of a). Methane b). CO2 gas c). Silicates d). Benzene
15.Liquid mirror telescope on moon an advanced concept of NASA employs ionic liquids and silver coated by a). Spinning b). Deposition c). Precipitation d). Spraying
16.In jute fiber color can be improved by action of a). Hydrogen peroxide b). Chlorine peroxide c). Sodium peroxide d). Formaldehyde.
17.Jute nitrocellulose owing to its lower viscosity and high solubility would be useful for a). Paper industry b). Sugar industry c). Explosives d). Lacquer industry.
18.In MISFET device the insulating layer is produced by heating silicon wafer to
a). 800 0 C b). 900 c) 1400 d)1000
19.An activated carbon particle has either meso, macro or micro porous structure network with high surface area and have good capacity to absorb
a). Heavy metals, b). Inorganic c). Biomaterial d). Organic molecules.
20.Heavy water depletion in cancer patients effects cell growth
a). to increase b). to decrease c). Damage the cell d).none
21.The constellation Ursa Major consisting of major seven stars extends over a distance
of fist measure 10deg a).35deg b)25deg c).40deg d).60deg
22.Double pulsar PSR J0737-3039A/B situated 2000ly away consists of
a).black holes. b) Quark stars c). Strange stars d). Pair of neutron stars.
23. The heaviest element discovered has an element number a).118 b).120. c).121 d).117
24.Evergreen trees take upon their needles from atmosphere more
a).Gold b).silver c)mercury d).iron
25.Black (carbonado) diamonds from space have high porosity, high content of polyaromatic hydrocarbons (due to dust of graphite, silicates and radicals) and chemicals such as, a). NaN b).TiN c).ZrN d).CaN
26.To incorporate Mach principle into gravitational theory scientists postulated existence
of a).one field b). two fields c). a new particle d).nothing
27. Guth's Inflaton is essentially
a) an expansion field b). an explosive field c).superfast field d). a driving force.
28.The Quantum Link is a) code b).interaction c). entanglement d). probability
29.Black smokers can lead to serpentinization a process that is useful for supply of a)nutrients b).organisms c). bacteria d).None
30. A periodic table of stable nuclides termed as"kra1nga2dha2ma3ra4oa5“
is based on a)spin b) quadrupole moment c) magnetic moment d)orbits
31.Organic brains are more compacr and efficient than the best computers since they use a).temporal codes b).Emotions c). spatial arrangements d).Intuition
32.A biofilm turns into a biological film that can display imges by incorporation of a). pigments b). genetic parts c). LEDs d). colors
33.Pyroelectric fusion power generates are unrealistic but may be useful to power space craft or a medical therapy essentially rely on kicking
a). Neutron b). Pressure waves c). plasma d).deuterium
34.Blue Berries are a). fruits b).hematite c). clatherates d).solid balls
35.Higgs field produces two phenomena
a). mass & particle b). mass &interaction c). mass & field d). field & interaction
36.Refractive Index of water should be known for immersion lithography upto
a). two decimles b).three decimals c). 5 or 6 decimals d). only 4 decimals
37.Evolutionary pathways are so intricate and so complex and presumed to have rules
of a).Divine Plan b).Random Choice c). Fate d). Will Power.
38.Transisters can be shrunk replacing oxidized silicon by
a). Barium b). Californium c).Uranium d). Hafnium.
39.Epigenetics refers to study of change in gene expression and involves no change
in a).structure b). Code c). link d). pattern
40.Milky way evolution has a new dimension by way of discovery of
a).New Stars b). New Dwarfs c).anomalous velocity clouds d). Supernovae
41.Ravens can a). distinguish individuals b).recognize individuals c). contemplate alternatives d). be intelligent.
42.Retina can a). preprocess b).judges c). cannot preprocess d). work like a TV camera
43.Spurious light signals and so forth affect Infra Red transmission speed by a). slowing down b).enhancement c). interference d). diffraction
44.Plasmic devices are arrays of narrow stripes and gaps of
a). Dielectric b).Metals c). Oxides d). Refractories
45. Neutron stars accrete matter similarly to that of black holes.
a) Right b) wrong
46.A slight rocking motion, called libration, makes visible from our planet earth nearly
the Moon's surface about a)40% b)50% c) 60% d)59%
47.At the time of close encounter of mars with earth kln observed from its polar cap
Streaks of light numbering about a). Two b). Three c).four d).none
48.Pioneering theoretical work was done in 30's by Landau & Openheimer on stellar structure but modern models sprang from concepts of
a).Accretion b).Collisions c)perturbations d).Dynamical collapse
49. Lepton-Lepton forces of tidal disturbances on some stellar objects are assumed to obey the law of a).1/r^2 b).1/r^3 c)1/r^5 d).none
50. The end of the twin pulsars one 23 milliseconds the other, one rotation every 2.8 seconds, dance of death is expected in a) 85 Myrs b)65Myrs c)40 Myrs d)20Myrs.
Designed and created by Professor Kotcherlakota Lakshmi Narayana
Kotcherlkota_l_n@hotmail.com1d2a3c4a5d 6d7d8d9b10d 11b12b13c14c15a16b17d18d19d20b21b22d23a24c25c
26a27d28c29a30a31c32b33d34b35a36c37a38d39b40c41a42a43a44a45a46d47b48d49c50a
Key words: nuclear periodic table, heavy water, lepton force, and polar cap

रिसर्च फोरम मीत ओं थे ९थ् सेप्तेम्बेर 2007

As decided a research forum meeting was held between 4.00pm to 7.30pm at the residence of Dr DVNSarma 1A2 Dolphins Apts,near taj residency hotel, Visakhapatnam's and discussions were carried out by Prof.E.V Gangadharam (address flat n0.405,Bhagya Sai Residency,opp.century club, Maharanipeta.P.O, vskp 530002 ph.no.2530527 cell 9440173255) and Prof.K.L.Narayana.
Dr.DVNSarma:1. Om Ae Trisaptaha Paryanti visvarupani Bibhrata:
Cosmology:137 each level is 137 times the previous from elementary particle size to the cosmos :twenty one times 137 from the smallest particle to universe size.
2. He emphasized Ca & Mg lines intensity in the solar spectrum in spite their abundance is low. He affirmed possible high excited H and D atomic lines contribution.
3. He commented on the intimate relation between Ca & Mg enzymes presence in biological membranes to transport H and D across it and hence affirmed the intimate relation between Astrophysics and Biological physical entities.
4. He remembered the fundamental work of Prof KRRao which found a permanent place in National Bureau of Standards USA on Atomic levels, with an unprecedented accuracy of experimental observations and analysis.
Prof. E.V.Gangadharam:
Spoke of his involvement in the NASA Apollo 11 and Apollo 12 Lunar Samples Analysis Programme during 1969-71 at Cornell University, Ithaca N.Y.He described the thrill of seeing for the first time a display of moon rock from at Houston Space Centre in January 1970. He also had the good fortune to know the famous astronomer Dr.Carl Sagan, at the Cornell Dept.of Astronomy and Space Sciences during his stay as Research Associate at Cornell.
Prof.K.L.Narayana:
Made a quick presentation of his paper to be published entitled
" On the Physics of Stellar Structures and possible novae stars"
Resolutions:
Next meeting will be held on the October 7th,2007 at the residence place of Prof.E.V.Gangadharam:Please note details of venue as:
(address flat n0.405,Bhagya Sai Residency,opp.century club, Maharanipeta.P.O, vskp 530002 ph.no.2530527 cell 9440173255)

An astronomy observation session will be held on the Amavashya night of 10th September 2007, Monday, at the above address of Prof.EVGangadharam,building terrace using a telescope presented by Dr.Lalitha Kumari(d/o Prof KRRao).

All interested are invited and hereby informed.

Research Forum Meeting 15th August 2007

TRU_SCIENCE & TRU_TECHNOLOGY

A Research Forum meeting of the trusciencetrutechnology@blogspot.com was held on the 15th August 2007 at 4.00pm.Prof YRVasudeva Prof Sitaatre Dr DVNSarma Prof K.L.Narayana and G Sudheer have met and discussed on the following topics:
1.Core and structure of earth
2.Dimensionality of a number
3.Force field laws
4.Mathematics of ancient wisdom
It was decided to have next meeting on the 9th September 2007 at the same place i.e A1,First Floor, Dolphins Apts, near Taj Hotel,Vizag (R) of Dr.DVNSarma and expected to have more invitees. Also the next meeting shall have a lecture followed by lively discussions of mutual interest in science and technology.May be internet and other means of participation may be included.
kln

trusciencetrutechnology vol 2007 No.7 dated 23/07/07

http:\trusciencetrutechnology @blogspot.com, Vol.2007,No.7, Dated 23rd July 2007.
ON THE CORIOLIS ROTATION-VIBRATION INTERACTION CONSTANTS OF
HEAVY WATER AND THEIR DISPERSION CHARACTER
Professor Kotcherlakota Lakshmi Narayana,
It is a very significant finding, that the variations of 21 , 22 are complimentary to each other. And the curves indicate similarity with familiar dispersion curves something new that was not reported earlier. This finding has a far-reaching implication. A new method of analysis is based, on an Exact Coriolis Matrix that involves three coefficients, C12, C13 and C23. The extended set of three rotation-vibration interaction constants  of the heavy water is found to have the values. 21 = 0.012162, 22 =0.654505 and 23 =0.333333. These satisfy the normalization condition that the sum of squares of the  values is just unity. A significant result is that the 22 is considerably now reduced. The rotation-vibration interaction constant 23 almost acquires the reduction in 22. Yet another new approach described vividly in the present article is the one that employed the mixing parameter dependent Exact Coriolis Matrix method to find the Coriolis rotation-vibration interaction constants. These values are found exhibit a distorted version of the dispersion curve nature of the constants. The asymmetric stretching mode, the bending mode and the symmetric stretch modes of the Heavy Water seem to be greatly affected by the Coriolis Effect and the mixing parameter of the underlying symmetry coordinates.
Key words: Heavy Water, D2O, thermonuclear plasma, Coriolis Matrix, Rotation-Vibration interaction, Dispersion Curves, Nuclear Moderators, Tensor Force, mixing parameter, Boson, Blue of Ocean

INTRODUCTION:
Heavy water, D2O, is water in which, both the hydrogen atoms have been substituted by the Deuterium (1). The deuterium is an isotope of hydrogen, constituted by one proton and one neutron. Heavy water has become a strategic material due its functional property as a moderator to slow down neutrons in a nuclear reactor. A typical 220 MWe pressurized heavy water reactor requires about 275 tonnes of heavy water. Nangal plant, the largest in the world, which works employing the electrolysis process, produced the first drop of heavy water in India on the August 9, 1962. Fertilizer plants have been next effectively used as the raw material to produce the deuterium. Chemical exchange between H2S and water or ammonia is the other processes adopted to produce heavy water. Manuguru plant adopted the use of fly ash in the production of heavy water in India. Deuterium has found to be effective, in substituted polymers for enhanced transmission of light.
The relative abundance (2) of deuteron in nature is only 0.0149 in atom per cent. Deuteron obeys Bose statistics, hence is a Boson, as directly confirmed by experiments on Band Spectra and, was found to be composed of just one proton and one neutron. Proton is a Fermion and hence Neutron as well is a Fermion. An outstanding peculiarity of deuteron is its small binding energy ~2.22MeV and its large average separation distance ~ 4.0E-13 cm between the constituent nucleons. These nucleons thus spend more time outside the range of attractive nuclear force.
Just as the optical doublet studies in spectroscopy of series classification and the Structure of atoms (3). Aston brought out the doublet method (4), in mass spectroscopy. And the measurements of best values, of the so-called fundamental doublets led to determine, the mass excess for Deuterium to be 14.735e-020.006amu(5). Many other investigators best values differ slightly. Non additivity of magnetic moments for the case of deuteron leads to the measured value as d=0.8576 nuclear magneton. The finite difference between d and (p+n) has been interpreted as evidence for the contribution of tensor force or the non-central force between nucleons in deuteron. When the time average, volumetric distribution of charge within deuteron deviates from spherical symmetry, then the nucleus would posses finite multipole moments. The quadrupole moment Q= 0.273e-26 cm2, for a deuteron in a quantum state (L=0,S=1) would be in harmony with magnetic moment and the mechanical moment. The existence of non-central force asserts that no longer the orbital angular momentum L is a good quantum number. The deuteron is an admixture of 4% of 3D1 level and 96% of 3S1 level that as well supports the non-additivity of magnetic moments of neutron and proton in deuteron.
Our previous investigation (6) on the molecular force fields of heavy water revealed that its force field ellipse is three times more in area than that for W2O molecule. The mixing parameter value describes an orthogonal linear combination of two mass weighted vibration cartesian coordinates S1 and S2 of the A1-species, of heavy water. We have already found that the constraint technique yields a mixing parameter value +1.52 or –0.9136 for gaseous heavy water.
Smith & Linnett (7) gave the frequency assignments for the heavy water as w1=2758.06cm-1, w2=1210.25 cm-1, w3=2813.79 cm-1 with DO bond length as 0.957Angstroms. The restricted rotations or the rocking motions (librations) of the molecule of heavy water play an important role in ice and liquid water than in the Vapor State (8). The librations arise due to restrictions imposed by hydrogen bonding on the heavy water. Since the heavy water has larger moments of Inertia, its libration frequencies are reduced by a factor of two, relative to those of ordinary water H2O. At 250C the liquid D2O has L2 major libration band at 345.6 cm-1 and with a minor band L1 around 187.75 cm-1. The infrared absorption and the Stokes and anti-Stokes shifts of excitation spectral lines become more complex due to overtones and combinations of vibration frequencies with libration bands.
Liquid water D2O does not absorb in the Red region but absorbs more in the infra red region. It is blue in color solely, due to scattering of light, unlike the ordinary water or the hydrothermal colloidal silica. Its interesting to note that liquid ordinary water has w1=3280 cm-1, w2=1644cm-1 and w3= 3490cm-1 according to Martin (8). Ordinary water capability of hydrogen bonding with anions gives rise to possible ionic kosmotrophes or chotrophes.
Broadening and movement of frequencies to lower wavenumbers characterize the ionic kosmotrophes (8) whereas the chotrophes exhibit narrowing and movement towards the higher wavenumbers. When symmetry force constant (mdyn/A) F120.0 was used, then the values of F11=7.711 F22=0.722 F33=7.97 have been obtained, by us for D2O by employing the Green’s function formalism and partitioning (GFP) technique. Our values of the wave number assignments are w1=2671 cm-1, w2= 1178.0 cm-1, w3=2788.0cm-1. A finite value of F12=0.2273 was found by us to yield F11=7.783,F22=0.722 and F33=7.97. While the work of Venketeswarulu and Thanalakshmi reported (9), the values F11=7.601 F22=0.918 F12=-0.0035 F33=7.5725. The values of wavenumbers for the D2O molecule adopted in these investigations were almost the same as w1=2669.4 cm-1, w2=1178.38 cm-1 and w3= 2787.92 cm-1 those recently considered by Martin Chaplin (8).
MOLECULAR VIBRATION OF HEAVY WATER:
The molecular vibration and the rotation-vibration interaction would be of great interest in view of its possible presence, in the oceans and seas of other cosmic entities or in the liquid and gaseous matter of extra terrestrial planetary atmospheres. Also the D replacement of H in ordinary water, that gives the heavy water structure, lowered the values of wavenumbers of heavy water relative to the ordinary water. Also the ratios of w1: w2 in heavy water and the ordinary water, viz., 2.265:2.293 differ considerably.
The action of heavy water as a moderator, to slow down the fast neutrons in fission chain nuclear reactor has been successfully implemented world over. The deuterium available in high concentration in sea water nearly 30mg in one liter, which in the form of heavy water, is a constitutive material for sustained thermonuclear plasma experiments.
To the author’s knowledge, only cursory accounts of the study of molecular vibrations of heavy water are available in literature. In this respect that the present work report that the molecular force fields ellipse of heavy water molecular vibrations, is three times more in area than that for W2O molecule seems to be a physically significant finding (6). The object of the present work is to highlight the applicability of the new method of analysis of rotation-vibration interaction features of the heavy water, using the Exact Coriolis Matrix and the enlarged set of Coriolis rotation-vibration interaction constants (10). As has been emphasized, in a previous document it is desirable to assert that unlike, the just two Coriolis components, three constants have become necessary to describe the heavy water rotation-vibration interaction. The three distinct values for the product, biproduct and the sum rules characterize the molecular force field of the heavy water.
THE EXACT CORIOLIS MATRIX FOR HEAVY WATER ( D2O)
The exact Coriolis Matrix for description of rotation-vibration interaction of XY2 type molecule, which involves three Coriolis Coefficients, C12, C13 and C23 instead of, the just two as extensively mentioned and used variedly in the literature.
The characteristic equations involved are as given below.
| F C - E | |  -  E |=0.
The F signifies the force field symmetry matrix of C2v symmetry of the Heavy Water. Here C stands for the Exact Coriolis Matrix of the molecule.
The usual definition of the Coriolis rotation-vibration interaction constants, namely the  -values, is by the expression,
 = L-1 C (L-1 )T. For details of notation see reference 10.
An aim of the present work is to report the new findings on the Coriolis rotation-vibration constants,  adopting the above secular equations for the heavy water. These also turn out to be three in numbers and on normalization sum of their squares would be unity. The CF matrix of the secular equation, similar to the  have been explicitly worked out and the results are presented below in detail. The use of the force constant values reported by both Smith & Linnett and the values given by the present author, has led to two different sets of the Coriolis rotation-vibration constants, . Accordingly the distinct product, biproduct and the sum rule values turn out to be discrete. For the heavy water D2O molecule present work values are F1=7.783 F2=0.722, F12=0.2273, F3=7.93, F21=F12 with mass of Oxygen 16.0 and mass of Deuteron =2.014735 and bond distance of DO is r=0.957000 Angstroms.
The bond angle used is 104.523 degrees and the best value of mixing parameter from our previous reported data is -0.913617. The wavenumbers are w1=2671 cm-1, w2=1178 cm-1, w3=2788 cm-1. The total mass of the molecule is M=20.029470 and d1=0.223442 equals the reciprocal of square root of the total mass M of the molecule. We need to use the value of d2= (2.0*mx*Sin2(/2)+my) -0.5 =0.232361 for obtaining the B=TM-1/2S matrix of the GFP technique. The notation adopted is the same as in the references given below (10,11).
NUMERICAL DATA AND THE ANALYSIS
The inverse L- Matrix for the heavy water molecular vibration has the following non-vanishing values. Li00=-1.352425 Li01=0.025314, Li10=0.184355, Li11=0.938038, and Li22=1.319265. These have been used to get the Coriolis rotation-vibration interaction constants 21=0.018243 22=0.981757 and with the normalization condition that
21 + 22 = 1.0.
Its worth investigating the graphs of the 21 , 22 values variation with the mixing parameter. The results are presented in a graphical form below (Fig.1). From the Fig.1 we note that the variations of 21 , 22 are complimentary to each other. And the curves indicate similarity with familiar dispersion curves of ferrite material (13). This finding has a far-reaching implication. At the mixing parameter value 0.19, the squares of Coriolis rotation-vibration interaction constants seem to be almost the same, since their values are found to be 21=0.507171, 22=0.492829.

THE NEW METHODS OF ANALYSIS:

A new method of analysis is based, on an Exact Coriolis Matrix that involves three coefficients, C12, C13 and C23. The extended set of three rotation-vibration interaction constants  of the heavy water are found to have the values 21 = 0.012162 22 =0.654505 and 23 =0.333333. These satisfy the normalization condition that the sum of squares of the  values is just unity.
A significant result is that the 22 is now considerably reduced. The new rotation-vibration interaction constant 23 almost acquires the reduction in 22. The variation of 21 , 22 continue to be complimentary to each other, in spite that their magnitudes have changed considerably. At the value 0.2 of the mixing parameter it has been found that the values of the 21 =0.344535, , 22 =0.322132 are approximately equal as one expects from a dispersion curve nature of variation of the constants and the 23 =0.333333.

Another entirely different type of method of analysis explicitly developed in the present work, is the one that employs the symmetry mixed matrix U to determine the Exact Coriolis Matrix. Unlike the previously reported methods of constructing the Coriolis Matrix for example, by Meal & Polo (14) and Cyvin (15), in the present work an entirely new approach has been used to get the Coriolis Matrix. The concept of using the U-matrix to find the Coriolis Matrix involves the fact that the Coriolis Matrix, itself might be dependent on the mixing parameter of the symmetry vibrations. The parity operation that was reported in a previous paper (10) by the present author has been retained to get the Exact Coriolis Matrix. In the new approach, the proper matrix that transforms the set of internal symmetry coordinates into the cartesian representation has been constructed intuitively. The aim of the present construct is to get the Exact Coriolis Matrix. Wolfram and DeWames (12) aimed at construction of U matrix with the idea of obtaining the Green’s functions, for the perturbed and the unperturbed molecules.

At mixing parameter values -0.1 and 0.2, the typical rotation-vibration interaction constants values are found to be as given below. At the mixing parameter value -0.1: zeta1s=21 =0.125195, zeta2s=22 =0.494506, zeta3s=23 =0.380299 and at mixing parameter value 0.2 : zeta1s=21 =0.421127, zeta2s= 22=0.310027, zeta3s= 23 =0.268846 respectively.

The graphical representation is reproduced in the Fig.2.

From Fig.2 it may be noted that the dispersion nature of the constants relative to the mixing parameter is distorted, though the general trend of S-type curves may be found.


THE NEW PRODUCT AND SUM RULES
What is of interest is the nature of the new product and sum rules, for the Coriolis interaction constants 1, 2 and 3. Nature of these values in different environments is of paramount significance.
The characteristic given below becomes a third order for the FC product matrix.
| F C - E | |  -  E |=0.
For details of notation reference maybe made to 10,14,15 listed below. The determinant of the secular equations would readily yield the product, diproduct and sum rules for the case of adoption of a perfectly skew-symmetric and an Exact Coriolis matrix that involves three non-vanishing coefficients. Here diproduct rule is the sum of products of two individual roots chosen in cyclic order, out of the three possible roots of a third secular determinant equation. It has been already demonstrated, for the case of NO2 in a KBr crystal environment that the said three rules, involve explicitly three magnitude values. In the present work the mentioned magnitude values dependence on the adopted or the chosen mixing parameter, is explicitly brought out for the example, of heavy water.
The characteristic determinant of the matrix secular equation below has ambiguous signs for is elements, unless one restricts himself to the skew-symmetric character of the  matrix.
|  -  E |=0.
Redressal of this secular matrix in to different forms, with different signs for the elements, though has no physical support, leads to possible different rotation-vibration constants. The correct procedure mathematically is, to strictly adhere to the skew-symmetric property of the  matrix. An arbitrary assignment of signs of the secular matrix elements needs to be avoided, unless one wants adopt some simulation studies. Given below are the correct rules:
First the product rule for all the three roots of the secular equation for the case of
XY2 molecule is given below. In the case of heavy water D2O molecule, product vanishes. Hence the expression:
2*21 * 22* 23 * 1*2 * 3 =
-22* 22*23 *(22* 1 - 22* 3)- 22* 23*21*(21*1 + 22* 2) -
23* 21*21*(23* 2 + 21* 3)+(23* 1 + 22* 3)*(23* 2 + 21* 3)* (21* 1 + 22* 3)
Secondly, the sum of products of two individual roots out of the three roots of the secular equation, which the later is a polynomial in third degree, is given for the said example as follows. I term this as the diproduct sum and values for it, by different three methods have been tabulated below:
(21* 1 + 22* 2)*(23* 2 +21* 3 +22* 1 - 22* 3) +
(22* 2 + 21* 3)*(23* 1 - 22* 3)-
22* 23*21-23* 21*21 - 22* 22*23
Finally, the sum of all the three possible roots of the third order secular equation of the Coriolis interaction product matrix FC is obtained as below:
-(21* 1 + 22* 2 +23* 2 +21* 3 +23* 1 + 22* 3)
It may be noted some of the signs of the expressions given here differ from those given in an earlier article by me, reference 10 listed below.
From the Fig.3 given below it is very evident the dispersion nature of the
product  appearing in the secular determinant. The typical values are listed in a tabular form. Table 1. Presents the sum and the diproduct sum of the secular equation characteristic values.
Table 1. Heavy Water Data on Product & Sum Rules
Mixing Sum Diproduct Sum
-1.0 -8.005674 8.924532
-0.5 -7.963586 8.635751
0.0 -8.988364 15.667048
0.5 -10.490393 25.972907
1.0 -11.164184 30.595980

Table 2. Squres of Rotation-Vibration Constants
Mixing 21 22
-1.0 0.032260 0.967740
-0.5 0.019794 0.980206
0.0 0.323311 0.676689
0.5 0.768178 0.231821
1.0 0.967740 0.032260


An important achievement of the present research is the determination of the rotation-vibration constants of heavy water adopting an entirely different approach. The idea is to construct a newer Exact Coriolis Matrix using the so-called U-matrix, which in turn gives the dependence of the Exact Coriolis Matrix directly on the mixing parameter. Earlier workers thought of studying these constants, as derived from the L-Matrix that of course, yields the G=LLT. The merit of the present method is that skew-symmetric exact Coriolis Matrix, itself involves the mixing commensurate with the mixing of symmetry coordinates. Secondly, in the method we use the B={TM-1/2S} matrix truncated to arrive at the . This procedure avoids the construction of L-matrix unless one wants to construct it specifically. The Table.3 describes the data obtained by using the U-matrix construct of the Exact Coriolis Matrix.

Table. 3 . Squares of Rotation-Vibration Constants by a newer method.
Mixing 21 22 23
-1.0 0.001662 0.380341 0.617997
-0.5 0.000823 0.287924 0.711253
0.0 0.008768 0.181003 0.810229
0.5 0.048040 0.117417 0.834543
1.0 0.110409 0.095230 0.794361







RESULTS:
The main results may be summarized as below. A comparative study of three different methods of utilizing the Coriolis Matrix to determine the rotation-vibration interaction constants has been presented. The results of the mixing and the values of entities 21 , 22, 23 have been tabulated. A significant finding is that the dispersion nature of the rotation-vibration interaction constants arises, as well from the inherent character of the Coriolis matrix.


REFERENCES:
1. K. S. Parthasarathy, Former Secr. AERB, The Hindu, Thursday, April 19, 2007.
2. Robley D. Evans The Atomic Nucleus, McGraw-Hill Book Company, Inc. p.252, 1955
3. K. Rangadhama Rao, D.Sc. Thesis, Madras Univ., 1925
4. F. W. Aston, “Mass Spectra and Isotopes,” Longmans, Green & Co., Inc., New York, 1942
5. C. W. Li, W. Whaling, W. A. Fowler, C. C. Lauritsen, Phys. Rev. 83, p.512, 1951.
6. K. L. Narayana 61st Sess. Ind. Sci. Cong. Paper No. 57, Nagpur, 1974
& Paper No. 51 at 64th Sess. Ind. Sci. Cong. Bhubaneswar, 1977
7. Smith S. and Linnett J.W Trans. Far. Soc. 52, 891, 1956
8. Martin Chaplin, Quick links, Google Internet, London South Bank Univ. update on 29th March 2006.
9. K. Venketeswarulu, R. Thanalakshmi, Ind. Pure & Appl. Phys 1, p.377, 1963
10. K.L.Narayana, trusciencetrutechnology@blogspot.com Vol.2007, No.7 dt.
Friday, July 13, 2007 (Note:The product and sum rules expressions need to be examined.)
11 K. L. Narayana et al, J. Inorg. Nucl. Chem. 39, pp. 19-24, 1977
12.T. Wolfram, R.E. DeWames, Bull. Chem. Soc. of Japan, 39, p. 207-214, 1966
13. K. L. Narayana,” Lead Ferrite aluminate doped Dielectric Waveguides”
6th Intern. Conf. On Ferrites,(ICF6),Tokyo, Japan, Paper No. 29, PaI-7. 29-9-92.
14.J. H. Meal, S. R. Polo, J. Chem. Phys. 24, p.1119 and p.1126, 1956.
15. S. J. Cyvin, L.Kristiansen, Acta. Chemica. Scand. 16, p.2453-2454, 1962.
7/23/2007 11:24:54 AM



ACKNOWELEDGEMENT:
The author is greatly indebted to (late) Professor K. Rangadhama Rao D.Sc. (Madras). D.Sc. (London) for inspiring guidance and support.
Res Address:
Prof. Dr. K. Lakshmi Narayana,
Retd. Prof. of Physics (SU),
17-11-10, Narasimha Ashram,
Official Colony, Maharanipeta. P. O.
Visakhapatnam-530002, India
Kotcherlakota_l_n@hotmail.com

Professor Kotcherlakota Lakshmi Narayana

BIO-DATA
KOTCHERLAKOTA LAKSHMI NARAYNA
SEX: MALE
Date of Birth: 23rd July 1940
MARITAL STATUS: SINGLE
Birth Place: Visakhapatnam

ACADEMIC QUALIFICATIONS:

M.Sc. Mathematical Physics, (1960) Andhra University

M.Sc. Nuclear Physics (1961) Andhra University

Ph. D. (Physics) (three foreign FRS examiners) 1964 Andhra University

J.R.F (CSIR): Nuclear Quadrupole Resonance: 1961-1964, Andhra University, Waltair.

International research Fellow: 1964-1965: Uppsala University, Sweden

Senior Scientific Assistant: Government of India, Defence Scheme on Microwaves

PROFESSIONAL EXPERIENCE:

Shivaji University, Kolhapur-416004; Lecturer from 1st June, 1966 to May 1975

Reader in Physics from June 1975 to 16th December 1984

Professor of Physics from 17th December 1984 to 31st July, 200

Member of Institute of Physics (London) 1975-2001

Guided several Ph.D. and M.Phil. students in Physics

Was a signatory of MOUs with NOAA, Boulder, USA, STEL, Nagoya University, Japan

Energy Center of Florida, USA and Shivaji University,

Was with BARC center of Kolhapur, Radio Astronomy Center, Kolhapur

Professor & Head PG Physics Dept at St.Theresa’s College for Women, (Feb 04 to March 05) Eluru.

TEACHING EXPERIENCE:

Physics Dept (A.U) Engg College, AU for Physics Practical and Theory as a JRF

M.Sc. and Ph.D. (34 years) taught subjects of Solid State Physics, Microprocessors, Plasma Physics, Quantum Mechanics, Classical mechanics, Cosmology, Relativity, Semi and Super conductors, Computer techniques, Particle and Advanced Quantum Theory, Electronics, Electrodynamics, General Physics.

RESEARCH EXPERIENCE:

Developed 18 research labs at Shivaji University, Kolhapur

Published about 20 papers on NQR, Ferroelectricity, BrCl molecule, Titanimu Coordinated Complexes

Guided about 204 M.Sc. dissertations.

SOCIAL ENTERPRISE:

Conducted National, Departmental and International Seminars.

Promoted Physics and Industry Interaction with Industrial Estate Enterprises

Promoted IT Forum of West Godavari District with D.I.O at Eluru as a founder member

PATENT: Has a patent on Pseudo-Ferroelectric Materials

FOREIGN COUNTRIES VISITED: Sweden, Denmark, Norway, Holland, Switzerland, France, Chekoslovakia, South Korea, Japan, USA, and Nepal.

Organized women study tour to Industry in the year 2004-2005 at Eluru

ATTENDED:

International Conferences:

Optical Society of America, New York, Fusion Energy Symposium, Salt Lake City, Polymer Composite, California, ACS, USA

National Level: (1961-2000) BARC symposia on Nuclear, Solid State and Particle Physics

Many other National Conferences, ISTAM, Bose Institute Seminars, Kolkatta, Gwalior, etc.

RETIRED: With full pension benefits on 31st July 2000 as a FULL Professor of Physics,

Shivaji University, Kolhapur-416604.

CURRENT INTEREST:

Polymer devices and Substrates of Novel materials. Materials Science and Solid State Physics, Nano & Smart Devices, Fuel cells and Energy Conversion Systems

Initiated a WEBSITE: http://tru_science.westgodavari.org/ to help and motivate young innovators in the cause of National Educational Endeavor.

Email Id: freekln@yahoo.co.in

ROSFET a Novel Device

94th Ind. Sci. Congress held at Annamalai University,Chidambaram
ISCA2007: 3nd- 7th, Januar, 2007 Paper No.112.

Physical Sciences:

The electronic liquid characteristics, model and theory of ROSFET device
Kotcherlakota Lakshmi Narayana,
(Affiliated to ANDHRA UNIVERSITY,Viskhapatnam)
A.G. L. College, P.G.Dept, Sankaramattam Road, near NH-5, Visakhapatnam-530016. Email Id : freekln@yahoo.co.in
Key words: ROSFET, electronic liquid, R and AR spins, Hall Resistance

ABSTRACT:

The electronic liquid characteristics of devices and their solid state chemistry yield rich information about the electron and quasi-particle or pseudo-spin configuration aspects of the residual disordered structures of both charge transport source-drain current carrying charge states and localized states of charges trapped by impurities. ROSFET design, model and the theory have been detailed in this article. The correlated motions of molecular topological excitation spin particles R and AR with the electrons and holes, relative to both the applied magnetic field and the gauge fields involved are solved using the Schrödinger equation using different sets of effective masses for electrons (holes) and R (AR) spin particles. The impurity structures of SiO2 insulating oxide and (dopant XY4) metal-oxide interface has been shown to give quantization of Hall resistances and fractional Hall resistances characterized by four quantum numbers n, m, γ, l, α, unlike in the Klaus von Klitzing theory of QHE or the FQHE of Clark and Maksym. The new quantum numbers m, γ describe the zx-plane and xy-plane oscillatory motion of the electrons (holes) and R (AR) with two different centers and the concomitant frequencies. Our model wave equation and its energy level features are detailed in terms of the new quantum numbers of the FQHE description. Laplace transform and the direct analytical solutions of the Schrödinger equation of the ROSFET have been obtained. The idea of Landau Levels description gets smeared out due to the consideration of a gauge magnetic field and the width of the device plays a role of quantization.