For the reflection coefficient with the form as ρ(ω)exp[iψ(ω)], it is proved that around the central frequency ω 0 of the mirror, ρ(ω) is equal to ρ(ω 0) and ψ(ω) is proportional to the frequency ω.

The seismicity with magnitude that is equal to or greater than 3.0 before an earthquake(Ms≥5.0)since 1988 occurred in Sichuan and Yunnan provinces is analyzed in this paper.

Result: The data of group 2 were significantly higher than those of the other 2 groups,and there were no significant differences between group 1 and 3.Conclusions: CD15S expression of group 3 is equal to that of group 1.Monitoring of CD15S antigen expression on peripheral lymphocytes after renal transplantation may contribute to the diagnosis of acute rejection and may predict the effect of an anti-rejection therapy.

In the range from 0 to 25 mg/L of HPAM mass concentration,a standard working curve of HPAM mass concentration vs.solution absorbency was constructed with R2 is equal to 0.999 8.

Under the condition of irreducibility, it is show that this is equal to the spectral radius of Jacobi matrix of its generating function.

We also pseudopolynomially solve a class of QAP whose GLB is equal to the optimal objective function value, which was shown to remain NP-hard.

If the helix angle is equal to or slightly smaller than the bigger angle, which makes two meshing boundary lines superpose, a preferable meshing performance is obtained.

For Al and Si atoms arranging along the c axis in an AF-like long-range ordering (-Al-Si-Al-), the calculated electron-phonon coupling constant is equal to 0.8 and the logarithmically averaged frequency is 146.8 K.

By the probability of retaining the maximal ow is meant the probability that the maximal ow in such a network is equal to the maximal ow in the corresponding nonprobabilistic network.

A right hallow circular cylinder of quartz having its generator parallel to the principal axis liberates electricity when subjected to torsion about its axis. Charges of opposite signs appear on the inner and outer surfaces. When torsion is applied in the same sense as that of the optical rotation, positive electricity is developed on the outer surface, and vice versa. The quantity of electricity produced by the action of a couple of moment C on a hollow quartz cylinder of external diameter d0, internal diameter...

A right hallow circular cylinder of quartz having its generator parallel to the principal axis liberates electricity when subjected to torsion about its axis. Charges of opposite signs appear on the inner and outer surfaces. When torsion is applied in the same sense as that of the optical rotation, positive electricity is developed on the outer surface, and vice versa. The quantity of electricity produced by the action of a couple of moment C on a hollow quartz cylinder of external diameter d0, internal diameter di and length l is klC/do do-di), where k is equal to 9.2x10-8 in absolute C. G. S. electrostatic units.

Von Knorre first suggested the use of benzidine and o-tolidine for the determination of tungsten. With the latter reagent, he succeeded also in separat- ing tungstate from phosphate. Later on, o-dianisidine and vanillylidene benzidine have been proposed as precipitants for tungstate. The optimum pH ranges for the quantitative precipitation of tungstate by means of these precipitants and tetraminodiphenyl, which have not yet been found in the literature, are: benzidine pH: 2.0-5.5 o-tolidine 2.9-4.7 o-dianisidine...

Von Knorre first suggested the use of benzidine and o-tolidine for the determination of tungsten. With the latter reagent, he succeeded also in separat- ing tungstate from phosphate. Later on, o-dianisidine and vanillylidene benzidine have been proposed as precipitants for tungstate. The optimum pH ranges for the quantitative precipitation of tungstate by means of these precipitants and tetraminodiphenyl, which have not yet been found in the literature, are: benzidine pH: 2.0-5.5 o-tolidine 2.9-4.7 o-dianisidine 2.0-4.1 vanillylidene benzidine 1.7-3.9 tetraminodiphenyl 1.7-4.8 The effect of introducing various groups into the benzidine molecule upon the tungsten precipitating property is not profound. The relation between quantitative precipitation of tungstate with benzidine and the product of concentrations of both constituents before precipitation Was studied. It is found that quantitative precipitation of tungstate ions Can be realized only when the product of concentrations of reactants before precipitation is equal to or greater than 0.8 × 10~(-5), and the moles of benzidine added must be at least equal to that of tungstate. The gravimetlic determination of tungsten by means of o-tolidine may be applied to samples containing as low as 10 mg of rungsten trioxide in 200 ml solution, if an absolute error of 0. 5 mg can be tolelxted. For larger quantities of tungsten present in sample, the absolute errors amount to only 0.1-0.2 mg. Tetraminodiphenyl may be used as a tungsten precipitant, but no advantage over benzidine Wan found in our present studies.

Although James and Coolidge (1933) solved the molecular hydrogen problem in almost complete agreement with experiment by using a 13-term 2-electron eigenfunction, his method can hardly be applied to more complex molecules. For this and other reasons (Coulson, 1938), it is still desirable to obtain a good one-electron eigenfunction, i.e., molecular orbital, for the hydrogen molecule. The best molecular orbital treatment available in the literature was given by Coulson (1938), who used a trial eigenfunction in...

Although James and Coolidge (1933) solved the molecular hydrogen problem in almost complete agreement with experiment by using a 13-term 2-electron eigenfunction, his method can hardly be applied to more complex molecules. For this and other reasons (Coulson, 1938), it is still desirable to obtain a good one-electron eigenfunction, i.e., molecular orbital, for the hydrogen molecule. The best molecular orbital treatment available in the literature was given by Coulson (1938), who used a trial eigenfunction in elliptical coordinates involving 5 parameters and obtained 3.603 eV for the binding energy of H_2, which is to be compared with the ex- perimental value of 4.72 eV. In the present investigation we have proposed a new type of trial eigenfunction for the molecular orbital: (1) with p = centers a, b, g, c, d,…… i = electron 1 or 2 (2) where the p's are centers along the bond axis a-b (Fig. 1). In this simple problem both the Fock and Hartree methods yield the same result. The molecular orbital ψ must satisfy the following integral equation: (3) where ε is the energy of the molecular orbital, F is the Fock operator which is equal to H+G(1), while H is the one-electron Hamiltonian operator: H = -1/2▽~2-1/r_a-1/r_b (4) and G(1) is the interaction potential (5) Substituting (1) into (3), we obtain the linear combination coefficients c_p, which must satisfy the following secular equation: (6) where is the solution of the secular determinant and The F_(pq)'s are not at first known, but depend upon the c_p's. A method of successive approximation must therefore be adopted. A set of c_p values may be assumed, the F_(pq)'s calculated, the secular determinant (7) solved, and a new set of c_p values found. This process is repeated until a "self-consistent" set of c_p values is obtained. The above procedure was first proposed by Roothaan (1951), not for H_2 but for more complex molecules. It was called by him the "LCAO SCF (linear combination of atomic orbitals self-consistent field) method". The new feature of the present investigation is that we not only use LCAO but also LCNAO (linear combination of non-atomic orbitals, such as x_g, x_c, x_d, …). The order of secular determinant (7) may be reduced to half if we replace the eigen- functions x_a, x_b .... by their symmetrical and anti-symmetrical linear combinations x_a + x_b and x_a-x_b. Numerical calculations have been carried out both for the three- and the two-centered molecular orbitals. The three-centered molecular orbital is (10) (11) where S_(ab) and S(ag) are the overlapping integrals between x_a and x_b, and between x_a and x_g respectively. The parameters a and g have 'been obtained to give minimum energy by the method described above. They are a=l.190, g=0.22, and the binding energy is 3.598 eV, which is almost as good as that obtained by Coulson (3.603 eV) using a trial function of 5 parameters. The two-centered molecular orbital is (12) (13) which gives a maximum binding energy of 3.630 eV for a=1.190 and R~(ac)=R(bd)=0.105 (Fig. 1). This result is 'better than Coulson's. If we allow different values for the ex-ponent α in x_a and x_g in equation (11), or if we use a four-centered molecular orbital, such as ψ=a(x_a + x_b) + b(x_c + x_d) with four parameters, namely α_a=α_b, α_c=α_d, R_(ac)=R_(bd) and the ratio b/a, it is possible to obtain a still better result. Extension of the present method to the treatment of more complex molecules is now under investigation.