Mobius Inversion

   

Chen Nanxian, Physicist. Born in Shanghai, in 1937. Native of Hangzhou, Zhejiang Province. B.S. in Physics, Beijing University, 1962. Ph.D. in Electrical Engineering, University of Pennsylvania in 1984. Now serving as professor at Tsinghua University, and director at the Institute of Applied Physics at Beijing University of Science and Technology, standing member of National Advanced Materials Committee of China, and senior associate of the Inter- national Center for Theoretical Physics in Italy. He proposed the inverse problems on boson system, the fermion system and the lattice system; and developed systematic and sophisticated methods for these problems. Chen obtained a concise and unified solution for the inverse capacity problem which includes both Einstein's model and Debye's model as special cases. Chen also obtained a concise   and general solution for the inverse lattice problem, which is important for establishing the interatomic potentials base. This provides an important foundation for performance prediction of complex materials and materials designing. Dr. Chen was elected to the Chinese Academy of Sciences in 1997.

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publications

Zhang S, Chen NX      
Molecular dynamics simulations for high-pressure induced B1-B2 transition in NaCl by Mobius pair potentials
MODEL SIMUL MATER SC 11 (3): 331-338 MAY 2003 
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Li WX, Cao LZ, Shen J, et al.
Effect of Mo content on the structure stability of R-3(Fe,Co,Mo)(29)
J APPL PHYS 93 (10): 6921-6923 Part 2 MAY 15 2003 
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Chen NX, Lu Y, Shen J, et al.
Atomistic simulation of rare earth-transition intermetallic compounds derived from CaCu5 type
PROG NAT SCI 13 (5): 339-344 MAY 2003 
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Zhang S, Chen NX
Determination of the B1-B2 transition path in RbCl by Mobius pair potentials
PHILOS MAG 83 (12): 1451-1461 APR 21 2003 
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Ying L, Chen NX, Zong HM, et al.
Monte Carlo simulation of the reorientation transition in Heisenberg model with dipole interactions
SOLID STATE COMMUN 126 (4): 223-227 APR 2003 
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Kang YM, Chen NX, Shen J
Atomistic simulation of the lattice constants and lattice vibrations in RT4Al8 (R=Nd, Sm; T=Cr, Mn, Cu, Fe)
J ALLOY COMPD 352 (1-2): 26-33 MAR 24 2003 
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Chang H, Chen NX, Liang JK, et al.
Theoretical study of phase forming of NaZn13-type rare-earth intermetallics
J PHYS-CONDENS MAT 15 (2): 109-120 JAN 22 2003 
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Zhang S, Chen NX
Lattice inversion for interionic pair potentials
J CHEM PHYS 118 (9): 3974-3982 MAR 1 2003 
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Kang YM, Xie Z, An Z, et al.
Nonlinear electron-lattice interaction on excited states in polythiophene
J PHYS CHEM SOLIDS 64 (3): 377-384 MAR 2003 
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Kang YM, Chen NX, Shen J
Lattice vibration of Ce1-xScxFe4Al8
J PHYS CHEM SOLIDS 64 (3): 433-441 MAR 2003 
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Liu Y, Kang YM, Chen NX
Ab initio interatomic potentials of cubic boron nitride
J ALLOY COMPD 349 (1-2): 17-22 FEB 3 2003 
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Kang YM, Chen NX
Site preference and vibrational properties of ScCuxAl12-x
J ALLOY COMPD 349 (1-2): 41-48 FEB 3 2003 
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Zhang S, Chen NX
Energies and stabilities of sodium chloride clusters based on inversion pair potentials
PHYSICA B 325 (1-4): 172-183 JAN 2003 
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Zhang S, Chen NX
Study on the high-pressure properties of KCl crystal by inversion pair potentials
Materials Science and Engineering B99 (2003) 588/592
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Hao SQ, Chen NX, Shen J
The space group of Nd3Fe29-xTix: A2/m or P2(1)/c
PHYS STATUS SOLIDI B 234 (2): 487-495 NOV 2002 
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Kang TM, Chen NX, Shen J
Site preference and vibrational properties of Ni3Al with ternary additions Pd and Ag
MOD PHYS LETT B 16 (19): 727-737 AUG 20 2002 
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Hao SQ, Chen NX, Shen J
Phase stability and site preference of Nd2Fe17-xTx (T=V, Ti, Nb) and Nd2-xZrxFe17
J ALLOY COMPD 343 (1-2): 53-59 SEP 16 2002 
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Zhang S, Chen NX
Ab initio interionic potentials for NaCl by multiple lattice inversion
PHYS REV B 66 (6): art. no. 064106 AUG 1 2002 
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Hao SQ, Chen NX, Shen J
Atomistic study of rare-earth compounds R2Fe17 (R=Y, Ce, Pr, Nd, Sm, Gd, Tb, Dy, Ho, Er, Tm, Lu) and Nd2Fe17Nx
MODEL SIMUL MATER SC 10 (4): 425-435 JUL 2002 
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Hao SQ, Chen NX, Shen J
Atomistic study on the structure and Curie temperature for Nd2Fe17-xCrx
J MAGN MAGN MATER 246 (1-2): 115-123 APR 2002 
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Hao SQ, Chen NX
Atomistic simulation on the phase stability, site preference and lattice parameters for Nd(Fe, T)(12) with Nd(Fe, Ti)(12)N-x
PHYS LETT A 297 (1-2): 110-120 MAY 6 2002 
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Liu Y, Chen NX, Kang YM
Virtual lattice technique and the interatomic potentials of zinc-blend-type binary compounds
MOD PHYS LETT B 16 (5-6): 187-194 MAR 10 2002 
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Cao LZ, Shen J, Chen NX
Theoretical study of the phase stability and site preference for R-3(Fe,T)(29) (R=Nd, Sm; T=V, Ti, Cr, Cu, Nb, Mo, Ag)
J ALLOY COMPD 336 (1-2): 18-28 APR 18 2002 
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Chen NX, Hao SQ, Yu W, et al.
Phase stability and site preference of Sm(Fe,T)(12)
J MAGN MAGN MATER 233 (3): 169-180 AUG 2001 
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Wang Y, Shen J, Chen NX, et al.
Theoretical investigation on site preference of foreign atoms in rare-earth intermetallics
J ALLOY COMPD 319 (1-2): 62-73 APR 26 2001 
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Chen NX, Shen J, Su XP
Theoretical study on the phase stability, site preference, and lattice parameters for Gd(Fe,T)(12)
J PHYS-CONDENS MAT 13 (11): 2727-2736 MAR 19 2001 
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Ni XD, Chen NX, Shen J, et al.
Site preference of alloying elements in Fe3Al-based alloys
J MATER RES 16 (2): 344-351 FEB 2001 
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Shen J, Wang Y, Chen NX, et al.
Site preference of ternary additions in Ni3Al - Using first-principle interatomic potentials
PROG NAT SCI 10 (6): 457-464 JUN 2000 
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Cong WX, Chen NX, Gu BY
Phase retrieval in the Fresnel transform system: a recursive algorithm
J OPT SOC AM A 16 (7): 1827-1830 JUL 1999 
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Ge XJ, Chen NX, Zhang WQ, et al.
Selective field evaporation in field-ion microscopy for ordered alloys
J APPL PHYS 85 (7): 3488-3493 APR 1 1999 
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Cong WX, Chen NX
Optimization of Gaussian beam shaping in fractional Fourier transform domain
PROG NAT SCI 9 (2): 96-102 FEB 1999 
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Cong WX, Chen NX, Gu BY
Recursive algorithm for phase retrieval in the fractional Fourier transform domain
APPL OPTICS 37 (29): 6906-6910 OCT 10 1998 
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Chen NX, Ge XJ, Zhang WQ, et al.
Atomistic analysis of the field-ion microscopy image of Fe3Al (vol 57, pg 14203, 1998)
PHYS REV B 58 (13): 8842-8842 OCT 1 1998 
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Cong WX, Chen NX, Gu BY
Generation of nondiffracting beams by diffractive phase elements
J OPT SOC AM A 15 (9): 2362-2364 SEP 1998 
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Wei YC, Chen NX
Square wave analysis
J MATH PHYS 39 (8): 4226-4245 AUG 1998 
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Cong WX, Chen NX, Gu BY
Beam shaping and its solution with the use of an optimization method
APPL OPTICS 37 (20): 4500-4503 JUL 10 1998 
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Chen NX, Rong EQ
Unified solution of the inverse capacity problem (vol 57, pg 1302, 1998)
PHYS REV E 57 (5): 6216-6217 Part B MAY 1998 
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Cong WX, Chen NX, Gu BY
A recursive method for phase retrieval in Fourier transform domain
CHINESE SCI BULL 43 (1): 40-44 JAN 1998 
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Zhou GH, Zhou FX, Zhao XD, et al.
Molecular dynamics simulation of hydrogen enhancing dislocation emission
SCI CHINA SER E 41 (2): 176-181 APR 1998 
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Cong WX, Chen NX, Gu BY
A new method for phase retrieval in the optical system
CHINESE PHYS LETT 15 (1): 24-26 1998 
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Li M, Chen NX
Phonon dispersion of alkali metals and the LA2/3(1,1,1) anomaly in bcc structures
PHYS LETT A 234 (2): 134-140 SEP 15 1997 
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Ge XJ, Chen NX, Chen ZD
Efficient algorithm for 2-D arithmetic Fourier transform
IEEE T SIGNAL PROCES 45 (8): 2136-2140 AUG 1997 
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Zhang WQ, Xie Q, Ge XJ, et al.
Interatomic potentials between distinct atoms from first-principles calculation and lattice-inversion method
J APPL PHYS 82 (2): 578-582 JUL 15 1997 
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Zhang YJ, Chen NX, Tao DP, et al.
The effects of unsteady interactions on blade flutter
CHINESE SCI BULL 42 (11): 960-962 JUN 1997 
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Chen ZD, Chen NX
Computing coefficients of wavelet series by Mobius inversion formula
PROG NAT SCI 7 (2): 163-171 APR 1997 
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Chen NX, Chen ZD, Wei YC
Multidimensional inverse lattice problem and a uniformly sampled arithmetic Fourier transform
PHYS REV E 55 (1): R5-R8 Part A JAN 1997 
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Pan YW, Zhang WQ, Chen NX
Structure properties of ternary hydrides Ni3AlHx
CHINESE PHYS LETT 13 (9): 693-695 1996 
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Chen NX, Chen ZD, Liu SJ, et al.
Algebraic rings of integers and some 2D lattice problems in physics
J PHYS A-MATH GEN 29 (17): 5591-5603 SEP 7 1996 
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Li M, Chen NX
Phonon dispersion for the bcc metals Mo and Cr
Z PHYS B CON MAT 100 (2): 169-172 JUN 1996 
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Xie Q, Chen NX
Determination of hydrogen activation energy spectrum in amorphous solids from internal frictions
CHINESE PHYS LETT 12 (9): 553-556 1995 
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Xie Q, Chen NX
Matrix-inversion method: Applications to Mobius inversion and deconvolution
PHYS REV E 52 (6): 6055-6065 Part A DEC 1995 
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XIE Q, CHEN NX
UNIFIED INVERSION TECHNIQUE FOR FERMION AND BOSON INTEGRAL-EQUATIONS
PHYS REV E 52 (1): 351-355 Part A JUL 1995 
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LI M, CHEN NX
MOBIUS-INVERSION TRANSFORM FOR DIAMOND-TYPE MATERIALS AND PHONON DISPERSIONS
PHYS REV B 52 (2): 997-1003 JUL 1 1995 
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XIE Q, CHEN NX
RECOVERY OF AN N-BODY POTENTIAL FROM A UNIVERSAL COHESION EQUATION
PHYS REV B 51 (22): 15856-15860 JUN 15 1995 
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CHEN NX, LI M, LIU SJ
PHONON DISPERSIONS AND ELASTIC-CONSTANTS OF NI3AL AND MOBIUS-INVERSION
PHYS LETT A 195 (2): 135-143 NOV 28 1994 
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CHEN ZD, SHEN YN, CHEN NX
THE MOBIUS FUNCTION ON A UNIQUE FACTORIZATION DOMAIN AND APPLICATION IN AN INVERSE COHESION PROBLEM
CHINESE SCI BULL 39 (8): 628-631 APR 1994 
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LI M, LIU SJ, CHEN NX
3-BODY INTERACTION AND PHONON-DISPERSION RELATIONS IN ALUMINUM
Z PHYS B CON MAT 95 (3): 297-300 AUG 1994 
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CHEN NX, CHEN ZD, SHEN YN, et al.
3D INVERSE LATTICE PROBLEMS AND MOBIUS-INVERSION (VOL 184, PG 347, 1994)
PHYS LETT A 189 (6): 479-479 JUL 4 1994 
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CHEN NX
A NEW METHOD TO INTRODUCE THE MOBIUS FUNCTION AND THE MOBIUS TRANSFORM
J MATH PHYS 35 (6): 3099-3108 JUN 1994 
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CHEN NX, CHEN ZD, SHEN YN, et al.
3D INVERSE LATTICE PROBLEMS AND MOBIUS-INVERSION
PHYS LETT A 184 (4-5): 347-351 JAN 17 1994 
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CHEN NX, ZHANG CF, ZHOU M, et al.
CLOSED-FORM SOLUTION FOR INVERSE PROBLEMS OF FERMI SYSTEMS
PHYS REV E 48 (2): 1558-1561 AUG 1993 
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LIU SJ, LI M, CHEN NX
MOBIUS TRANSFORM AND INVERSION FROM COHESION TO ELASTIC-CONSTANTS
J PHYS-CONDENS MAT 5 (26): 4381-4390 JUN 28 1993 
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LI M, LIU SJ, CHEN NX
MODIFIED MOBIUS-INVERSION TRANSFORM AND PHONON-DISPERSION RELATIONS FOR COPPER
PHYS LETT A 177 (2): 134-138 JUN 7 1993 
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REN GB, CHEN NX
INVERSION OF SPONTANEOUS MAGNETIZATION FOR DENSITY-OF-STATES OF SPIN-WAVES
J MAGN MAGN MATER 123 (1-2): L25-L26 MAY 1993 
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CHEN NX
A COMBINATORIAL METHOD TO INTRODUCE MOBIUS-INVERSION FORMULA AND MOBIUS FUNCTION
CHINESE SCI BULL 38 (1): 27-31 JAN 1993 
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CHEN NX, REN GB
CARLSSON-GELATT-EHRENREICH TECHNIQUE AND THE MOBIUS-INVERSION THEOREM (PHYS REV, VOL 45, PG 8177, 1992)
PHYS REV B 47 (1): 593-593 JAN 1 1993 
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LI M, LIU SJ, CHEN NX, et al.
MODIFIED MOBIUS-INVERSION TRANSFORM AND INTERATOMIC PAIR POTENTIALS IN THE BCC-METALS MO AND CR
PHYS LETT A 169 (5): 364-370 OCT 5 1992 
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FENG P, CHEN NX
AMPLIFICATION OF THE INTERFACE-PHONON POPULATION UNDER AN INTENSE LASER FIELD
PHYS REV B 46 (12): 7627-7631 SEP 15 1992 
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CHEN NX
UNIFIED EXPRESSION FOR FERMI AND BOSE DISTRIBUTIONS
PHYS REV A 46 (6): 3538-3539 SEP 15 1992 
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MOOKERJEE A, CHEN NX, KUMAR V, et al.
ABINITIO PAIR POTENTIALS FOR FCC METALS - AN APPLICATION OF THE METHOD OF MOBIUS TRANSFORMATION
J PHYS-CONDENS MAT 4 (10): 2439-2448 MAR 9 1992 
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CHEN NX, REN GB
INVERSE PROBLEMS ON FERMI SYSTEMS AND IONIC-CRYSTALS
PHYS LETT A 160 (4): 319-324 NOV 25 1991 
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CHEN NX
SOLUTION OF INVERSION OF EWALD SUM FOR EFFECTIVE ION ELECTRON INTERACTION
PHYS LETT A 153 (8-9): 481-482 MAR 18 1991 
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CHEN NX, CHEN Y, LI GY
THEORETICAL INVESTIGATION ON INVERSION FOR THE PHONON DENSITY OF STATES
PHYS LETT A 149 (7-8): 357-364 OCT 8 1990 
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CHEN NX, LI GY
THEORETICAL INVESTIGATION ON THE INVERSE BLACK-BODY RADIATION PROBLEM
IEEE T ANTENN PROPAG 38 (8): 1287-1290 AUG 1990 
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CHEN NX
CORRECTION
PHYS REV LETT 64 (26): 3203-3203 JUN 25 1990 
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CHEN NX
MODIFIED MOBIUS INVERSE FORMULA AND ITS APPLICATIONS IN PHYSICS
PHYS REV LETT 64 (11): 1193-1195 MAR 12 1990 
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CHEN NX
AN ELEMENTARY METHOD FOR INTRODUCING THE CONCEPT OF RECIPROCAL LATTICE
AM J PHYS 54 (11): 1000-1002 NOV 1986 
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CHEN NX, RABII S
ABINITIO CALCULATION OF THE OPTICAL-SPECTRA OF GRAPHITE
PHYS REV B 31 (12): 8242-8243 1985 
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CHEN NX, RABII S
THEORETICAL INVESTIGATION OF THE OPTICAL-SPECTRA OF LIC6
PHYS REV B 31 (8): 4784-4791 1985 
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CHEN NX, RABII S
ABINITIO CALCULATION OF THE OPTICAL-SPECTRA OF LIC6 AND THE ORIGINS OF ITS PLASMONS
PHYS REV LETT 52 (26): 2386-2389 1984 
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CHEN NX, RABII S, HOLZWARTH NAW
CALCULATION OF THE OPTICAL-SPECTRA FOR GRAPHITE
SYNTHETIC MET 8 (3-4): 197-203 1983 
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CHEN NX
METHODS OF RESOLUTION OF RESISTANCE AND SOME SIMPLE APPLICATIONS
AM J PHYS 49 (6): 527-530 1981
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