P. Cassam-chena¨?chena¨? and J. Liévin, Alternative perturbation method for the molecular vibration???rotation problem, International Journal of Quantum Chemistry, vol.93, issue.3, pp.245-264, 2003.
DOI : 10.1002/qua.10556

J. K. Watson, Simplification of the molecular vibration-rotation hamiltonian, Molecular Physics, vol.12, issue.5, pp.479-490, 1968.
DOI : 10.1063/1.1701809

J. K. Watson, The vibration-rotation hamiltonian of linear molecules, Molecular Physics, vol.37, issue.4, pp.465-487, 1970.
DOI : 10.1103/PhysRev.32.812

H. H. Nielsen, The Vibration-Rotation Energies of Polyatomic Molecules, Physical Review, vol.60, issue.11, p.794, 1941.
DOI : 10.1103/PhysRev.60.794

I. M. Mills, Molecular Spectroscopy: Modern Reseach, pp.115-140, 1972.

M. R. Aliev and J. K. Watson, Molecular Spectroscopy: Modern Reseach, pp.1-67, 1985.

P. Cassam-chena¨?chena¨?, Ab initio predictions for the Q-branch of the methane vibrational ground state, Journal of Quantitative Spectroscopy and Radiative Transfer, vol.82, issue.1-4, pp.251-277, 2003.
DOI : 10.1016/S0022-4073(03)00157-2

I. Ozier, Ground-State Electric Dipole Moment of Methane, Physical Review Letters, vol.27, issue.20, p.1329, 1971.
DOI : 10.1103/PhysRevLett.27.1329

P. Cassam-chena¨?chena¨? and J. Liévin, The VMFCI method: A flexible tool for solving the molecular vibration problem, Journal of Computational Chemistry, vol.99, issue.5, pp.627-640, 2006.
DOI : 10.1002/jcc.20374

V. Boudon, O. Pirali, P. Roy, J. Brubach, L. Manceron et al., The high-resolution far-infrared spectrum of methane at the SOLEIL synchrotron, Journal of Quantitative Spectroscopy and Radiative Transfer, vol.111, issue.9, p.1117, 2010.
DOI : 10.1016/j.jqsrt.2010.02.006

URL : https://hal.archives-ouvertes.fr/hal-00455999

E. H. Wishnow, G. S. Orton, I. Ozier, and H. P. Gush, The distortion dipole rotational spectrum of : A low temperature far-infrared study, Journal of Quantitative Spectroscopy and Radiative Transfer, vol.103, issue.1, p.102, 2007.
DOI : 10.1016/j.jqsrt.2006.06.005

S. Brodersen and J. Lolck, Calculation of rotation-vibrational energies directly from an anharmonic potential function, Journal of Molecular Spectroscopy, vol.126, issue.2, pp.405-426, 1987.
DOI : 10.1016/0022-2852(87)90246-3

X. Wang, E. L. Sibert, and I. , A nine-dimensional perturbative treatment of the vibrations of methane and its isotopomers, The Journal of Chemical Physics, vol.111, issue.10, p.4510, 1999.
DOI : 10.1063/1.480271

E. Venuti, L. Halonen, R. G. Della, and . Valle, High dimensional anharmonic potential energy surfaces: The case of methane, The Journal of Chemical Physics, vol.110, issue.15, p.7339, 1999.
DOI : 10.1063/1.478635

J. Tennyson and J. Xie, Rovibrational Bound States in Polyatomic Molecules, pp.5-12, 1999.

S. Carter, H. M. Shnider, and J. M. Bowman, potential, The Journal of Chemical Physics, vol.110, issue.17, p.8417, 1999.
DOI : 10.1063/1.478750

URL : https://hal.archives-ouvertes.fr/hal-00693857

S. Carter and J. M. Bowman, and Isotopomers Using an Adjusted ab Initio Potential, The Journal of Physical Chemistry A, vol.104, issue.11, p.2355, 2000.
DOI : 10.1021/jp991723b

D. W. Schwenke, Towards accurate ab initio predictions of the vibrational spectrum of methane, Spectrochimica Acta Part A: Molecular and Biomolecular Spectroscopy, vol.58, issue.4, pp.849-861, 2002.
DOI : 10.1016/S1386-1425(01)00673-4

X. G. Wang and T. Carrington, Contracted basis Lanczos methods for computing numerically exact rovibrational levels of methane, The Journal of Chemical Physics, vol.121, issue.7, p.2937, 2004.
DOI : 10.1063/1.1767093

J. Wu, S. Huang, J. M. Carter, and . Bowman, Tests of MULTIMODE calculations of rovibrational energies of CH4, Chemical Physics Letters, vol.426, issue.4-6, p.285, 2006.
DOI : 10.1016/j.cplett.2006.06.024

R. Signorell, R. Marquardt, M. Quack, and M. A. Suhm, The permanentectric dipole moment of CH2D2: FIR el spectroscopy, Molecular Physics, vol.99, issue.1, p.297, 1996.
DOI : 10.1063/1.1732025

Y. S. Makushkin, . G. Vl, and . Tyuterev, Perturbation Methods and Effective Hamiltonians in Molecular Spectroscopy, 1984.

C. Soliverez and J. Phys, C: Solid State Phys, p.2161, 1969.

E. C. Kemble, Fundamentals of Quantum Mechanics, p.395, 1937.

H. Primas, Generalized Perturbation Theory in Operator Form, Reviews of Modern Physics, vol.35, issue.3, p.710, 1963.
DOI : 10.1103/RevModPhys.35.710

L. N. Buleavski, [English translation in Sov, Zh. Eksp. Teor. Fiz, vol.51, issue.230, p.154, 1966.

T. J. Lee, J. M. Martin, and P. R. Taylor, and isotopomers, The Journal of Chemical Physics, vol.102, issue.1, p.254, 1995.
DOI : 10.1063/1.469398

K. Raghavachari, G. W. Trucks, J. A. Pople, and M. Head-gordon, A fifth-order perturbation comparison of electron correlation theories, Chemical Physics Letters, vol.157, issue.6, p.479, 1989.
DOI : 10.1016/S0009-2614(89)87395-6

T. H. Dunning, Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen, The Journal of Chemical Physics, vol.90, issue.2, p.1007, 1989.
DOI : 10.1063/1.456153

A. V. Nikitin, M. Rey, . G. Vl, and . Tyuterev, Rotational and vibrational energy levels of methane calculated from a new potential energy surface, Chemical Physics Letters, vol.501, issue.4-6, p.179, 2011.
DOI : 10.1016/j.cplett.2010.11.008

R. A. Kendall, T. H. Dunning, and J. , Electron affinities of the first???row atoms revisited. Systematic basis sets and wave functions, The Journal of Chemical Physics, vol.96, issue.9, p.6796, 1992.
DOI : 10.1063/1.462569

D. E. Woon, T. H. Dunning, and J. , Gaussian basis sets for use in correlated molecular calculations. V. Core???valence basis sets for boron through neon, The Journal of Chemical Physics, vol.103, issue.11, p.4572, 1995.
DOI : 10.1063/1.470645

H. Werner and P. J. Knowles, An efficient internally contracted multiconfiguration???reference configuration interaction method, The Journal of Chemical Physics, vol.89, issue.9, p.5803, 1988.
DOI : 10.1063/1.455556

P. J. Knowles and H. Werner, An efficient second-order MC SCF method for long configuration expansions, Chemical Physics Letters, vol.115, issue.3, p.259, 1985.
DOI : 10.1016/0009-2614(85)80025-7

A. Mourbat, A. Aboumajd, and M. Loete, Simultaneous Determination of Force Constants and Dipole Moment Derivatives of Methane, Journal of Molecular Spectroscopy, vol.190, issue.2, p.198, 1998.
DOI : 10.1006/jmsp.1998.7575

H. Hollenstein, R. R. Marquardt, M. Quack, and M. A. Suhm, Dipole moment function and equilibrium structure of methane in an analytical, anharmonic nine???dimensional potential surface related to experimental rotational constants and transition moments by quantum Monte Carlo calculations, The Journal of Chemical Physics, vol.101, issue.5, p.3588, 1994.
DOI : 10.1063/1.467544

D. Bégué, C. Pouchan, N. Gohaud, P. Cassam-chena¨?chena¨?, and J. Liévin, A comparison of two methods for selecting vibrational configuration interaction spaces on a heptatomic system: Ethylene oxide, The Journal of Chemical Physics, vol.127, issue.16, pp.164115-164124, 2007.
DOI : 10.1063/1.2795711

P. Cassam-chena¨?chena¨? and Y. Scribano, Influence of kinetic coupling in rectilinear coordinates on the vibrational spectrum of fluoroform, Chemical Physics Letters, vol.466, issue.1-3, p.16, 2008.
DOI : 10.1016/j.cplett.2008.10.025

C. L. Chen, B. Maessen, and M. Wolfsberg, Variational calculations of rotational???vibrational energy levels of water, The Journal of Chemical Physics, vol.83, issue.4, p.1795, 1985.
DOI : 10.1063/1.449368

Z. Ba?i´ba?i´c and J. C. Light, Theoretical Methods for Rovibrational States of Floppy Molecules, Annual Review of Physical Chemistry, vol.40, issue.1, p.469, 1989.
DOI : 10.1146/annurev.pc.40.100189.002345

J. M. Bowman and B. Gazdy, A truncation/recoupling method for basis set calculations of eigenvalues and eigenvectors, The Journal of Chemical Physics, vol.94, issue.1, p.454, 1991.
DOI : 10.1063/1.460361

W. H. Shaffer, Operational derivation of wave functions for a symmetrical rigid rotator, Journal of Molecular Spectroscopy, vol.1, issue.1-4, p.69, 1957.
DOI : 10.1016/0022-2852(57)90011-5

W. H. Shaffer and J. D. Louck, Operational procedure for the determination of the matrix elements of the direction cosines for a rigid symmetrical rotator, Journal of Molecular Spectroscopy, vol.3, issue.1-6, p.123, 1959.
DOI : 10.1016/0022-2852(59)90014-1

V. M. Mikhailov, M. V. Mikhailova, and M. A. Smirnov, <title>Analysis of higher-order centrifugal distortion dipole moments of methane</title>, Seventh International Symposium on Atmospheric and Ocean Optics, p.55, 2000.
DOI : 10.1117/12.412011

I. Ozier, A. Rosenberg, and D. B. Litvin, The dipole moment expansion for a tetrahedral molecule in the ground vibronic state, Journal of Molecular Spectroscopy, vol.58, issue.1, p.39, 1975.
DOI : 10.1016/0022-2852(75)90155-1

J. Fisher, Total internal partition sums for molecular species in the 2000 edition of the HITRAN database, Journal of Quantitative Spectroscopy and Radiative Transfer, vol.82, issue.1-4, pp.401-412, 2003.
DOI : 10.1016/S0022-4073(03)00166-3

C. Wenger, J. P. Champion, and V. Boudon, The partition sum of methane at high temperature, Journal of Quantitative Spectroscopy and Radiative Transfer, vol.109, issue.16, pp.2697-2706, 2008.
DOI : 10.1016/j.jqsrt.2008.06.006

URL : https://hal.archives-ouvertes.fr/hal-00277904

A. Chakraborty, D. G. Truhlar, J. M. Bowman, and S. Carter, Calculation of converged rovibrational energies and partition function for methane using vibrational???rotational configuration interaction, The Journal of Chemical Physics, vol.121, issue.5, p.2071, 2004.
DOI : 10.1063/1.1759627

E. B. Wilson and J. , The Statistical Weights of the Rotational Levels of Polyatomic Molecules, Including Methane, Ammonia, Benzene, Cyclopropane and Ethylene, The Journal of Chemical Physics, vol.3, issue.5, pp.276-285, 1935.
DOI : 10.1063/1.1749653

A. J. Dorney and J. K. Watson, Forbidden rotational spectra of polyatomic molecules, Journal of Molecular Spectroscopy, vol.42, issue.1, pp.135-148, 1972.
DOI : 10.1016/0022-2852(72)90150-6

B. Bobin and J. C. Hilico, Attribution des transitions du type (R' = J' ?? 2 ??? J0) de la bande (??3 + ??4) du m??thane 12CH4, Journal de Physique, vol.36, issue.3, p.225, 1975.
DOI : 10.1051/jphys:01975003603022500

C. Wenger and J. P. Champion, Spherical top data system (STDS) software for the simulation of spherical top spectra, Journal of Quantitative Spectroscopy and Radiative Transfer, vol.59, issue.3-5, pp.471-480, 1998.
DOI : 10.1016/S0022-4073(97)00106-4

T. J. Lee, J. M. Martin, and P. R. Taylor, and isotopomers, The Journal of Chemical Physics, vol.102, issue.1, p.254, 1995.
DOI : 10.1063/1.469398

A. Mourbat, A. Aboumajd, and M. Loete, Simultaneous Determination of Force Constants and Dipole Moment Derivatives of Methane, Journal of Molecular Spectroscopy, vol.190, issue.2, p.198, 1998.
DOI : 10.1006/jmsp.1998.7575