Vibrational Mean-Square Amplitude Matrices. IV. Treatment of Tetrahedral X4 Molecules with Application to Phosphorus.
نویسندگان
چکیده
منابع مشابه
Boson-realization model for the vibrational spectra of tetrahedral molecules.
An algebraic model of Boson realization is proposed to study the vibrational spectra of a tetrahedral molecule, where ten sets of boson creation and annihilation operators are used to construct the Hamiltonian with Td symmetry. There are two schemes in our model. The first scheme provides an eight-parameter fit to the published experimental vibrational eigenvalues of methane with a root-meansqu...
متن کاملMean-Square H∞ Filter Design: Application to a 2DOF Helicopter
This paper designs the central finite-dimensional H∞ filter for linear stochastic systems with integralquadratically bounded deterministic disturbances, that is suboptimal for a given threshold γ with respect to a modified BolzaMeyer quadratic criterion including the attenuation control term with the opposite sign. The original H∞ filtering problem for a linear stochastic system is reduced to t...
متن کاملOn the square root of quadratic matrices
Here we present a new approach to calculating the square root of a quadratic matrix. Actually, the purpose of this article is to show how the Cayley-Hamilton theorem may be used to determine an explicit formula for all the square roots of $2times 2$ matrices.
متن کاملDistributed multichannel speech enhancement with minimum mean-square error short-time spectral amplitude, log-spectral amplitude, and spectral phase estimation
In this paper, the authors present optimal multichannel frequency domain estimators for minimum mean-square error (MMSE) short-time spectral amplitude (STSA), log-spectral amplitude (LSA), and spectral phase estimation in a widely distributed microphone configuration. The estimators utilize Rayleigh and Gaussian statistical models for the speech prior and noise likelihood with a diffuse noise f...
متن کامل] 1 1 Ja n 19 98 U ( 2 ) algebraic model applied to stretching vibrational spectra of tetrahedral molecules
The highly excited stretching vibrational energy levels and the intensities of infrared transitions in tetrahedral molecules are studied in a U(2) algebraic model. Its applications to silane and silicon tetrafluoride are presented with smaller standard deviations than those of other models.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Acta Chemica Scandinavica
سال: 1959
ISSN: 0904-213X
DOI: 10.3891/acta.chem.scand.13-1397