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    The CD.
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A new method is proposed in this paper for the evaluation of the following three important kinds of three-center and four-center integrals needed in molecular quantum mechanics: (1) (2) (3) Obviously, integral (2) is a special case of integral (3), so we need only to evaluate the first and the third. The following equations have been obtained for the evaluation of the above-mentioned two kinds of integrals (4) (5) where (6) (7) (8) (9) R_0 in equation (4) is the distance of point a apart from the origin located...

A new method is proposed in this paper for the evaluation of the following three important kinds of three-center and four-center integrals needed in molecular quantum mechanics: (1) (2) (3) Obviously, integral (2) is a special case of integral (3), so we need only to evaluate the first and the third. The following equations have been obtained for the evaluation of the above-mentioned two kinds of integrals (4) (5) where (6) (7) (8) (9) R_0 in equation (4) is the distance of point a apart from the origin located in bc line, while that in equation (5) is the distance between the two chosen origins separately located in ab and cd lines. θ_0 is the angle made byand, and θ_(10), θ_(20) and θ_(12) are respectively the angles made by and,and,and, The fourth term of equation (5) is, in general, negligible except in the case of R_0, which is less than two Bohr units. We propose two methods for the evaluation of and : the first one is to choose the origin at the end-point of the bond and evaluate the integral strictly inside and outside the sphere of radius, while the second one is to choose the origin at the mid-point of the bond and evaluate its value inside and outside the ellipsoid passing through the end-point of. The calculation involved in the second method is quite simple and, of course, a small error is introduced in changing the region of integration from the sphere to the ellipsoid, but it is quite negligible in comparison with the result of our first method. Equation (4) is exact in all cases, while equation (5) is exact in many cases but also involves certain errors in some other cases. From our actual calculations, we draw the conclusion that equation (5) is almost exact in the evaluation of integrals L_(aa, bc) and L_(ab, cd) and that certain error is involved in the evaluation of integral L_(ab, bc), but the error introduced does not exceed ten per cent.

在本篇文章中,我們建議了一種新方法來計算量子力學中的三中心和四中心積分;這方法此以往的好,因為計算簡單,應用廣闊,結果也比較可靠。我們用來計算三中心吸引能的公式[方程(5)]是在任何情况下都是正確的,而用來計算三中心和四中心的排斥能積分公式[方程(18)]在某些情况下是正確的,在另一些情况却能引進一些誤差。在計算非相隣鍵的積分時引進的誤差很小,可以忽略不計;在計算相隣鍵的積分時引進的誤差此較大,但不超過百分之十。我們建議兩種計算A_u和B_u的方法,一種方法是以鍵的一個端點爲原點,嚴格按照球內外的區域積分;另一種方法是以鍵的中點為原點,按照橢圓體的內外區域積分。前一種方法理論上嚴密,然而後一種方法計算簡單,收斂性快,引進的誤差也不大;尤其在計算相隣鍵的三中心排斥能的積分時,似乎後一方法得到的結果還比前一方法好。在本文中,為了容易說明起見,常常引用吸引能和排斥能這兩個名詞,實際我們的方法,是用來計算下列三類積分:它們不僅包括吸引能和排斥能積分,也把交换積分包括在內,甚至可以在更廣泛的意義上看待上列積分。若σ_1,σ_2也是Φ_1和Φ_2的函數時,仍可以用我們的一般展開理論處理,不過要此本文複雜。

The absorption spectra of cadmium sulphide single crystals were observed with natural light and polarized light, one piece of the crystals having a thickness of about 0.1 mm and another about 0.05 mm. At room and liquid air temperatures, the absorption spectra observed with natural light indicate that the wavelength of the long wavelength limit of Cd S depends upon the thickness and the temperature of the crystals. A change of the wavelength of the absorption edge which depended upon the orientation of...

The absorption spectra of cadmium sulphide single crystals were observed with natural light and polarized light, one piece of the crystals having a thickness of about 0.1 mm and another about 0.05 mm. At room and liquid air temperatures, the absorption spectra observed with natural light indicate that the wavelength of the long wavelength limit of Cd S depends upon the thickness and the temperature of the crystals. A change of the wavelength of the absorption edge which depended upon the orientation of the electric vector of the polarized light produced by a polaroid plate placed between the crystal and the slit of the spectrograph was observed.

利用CdS单晶体,一块约厚0.1毫米,另一块约厚0.05毫米,观察它们在天然光及偏振光下的吸收光谱。在室温及液态空气温度下,天然光的吸收指示CdS晶体长波吸收边波长随厚度及温度而改变。在光谱仪狭缝前放一偏振片观察到长波吸收边波长随晶体C轴与偏振光电矢量间介角的改变。 在液态空气温度下观察CdS晶体对偏振光的吸收情况,发现在晶体本徵吸收边出现由七条强而锐的谱线组成的一个类氢光谱系。 测量结果发现每条谱线的波数满足下列公式: v_k=20270-11754/k~2(厘米)~(-1),式内k=3,4,5,…9;k=2的线未在光谱中发现。从此式推出的CdS晶体能级的系限加以温度较正为2.41电子伏,与前人用其他方法所得2.42电子伏是很相近的。激子的等价质量与电子质量之比为4.3。 CdS晶体与ZnS晶体结构相似,常数数值相近,由此可以猜测CdS晶体能级的满带可能是属于S-离子。所观察到的激子光谱类氢系可能是S-离子的激发态。

Experiments are performed to use a brand of Chinese filter paper in paper chromatographic analysis. The paper used is the "fine" grade filter paper manufactured by the First Eastern Factory, Fou-Shun. It appears that the filter paper, after adequate treatment, may be used in paper chromatographic work. Treatment essentially consists of washing with dilute hydrochloric acid and distilled water and ascending with suitable solvents of the particular cation-groups. In this experiment, the solvents used for chromatographic...

Experiments are performed to use a brand of Chinese filter paper in paper chromatographic analysis. The paper used is the "fine" grade filter paper manufactured by the First Eastern Factory, Fou-Shun. It appears that the filter paper, after adequate treatment, may be used in paper chromatographic work. Treatment essentially consists of washing with dilute hydrochloric acid and distilled water and ascending with suitable solvents of the particular cation-groups. In this experiment, the solvents used for chromatographic analysis of aluminium, silver and arsenic groups were modified from that used by F. H. Burstall and others. The results are summarized as follows:Group I R_f: K 0.45, Na 0.56, Mg 0.71Group Ⅱ R_f: Ba 0.45, Sr 0.53, Ca 0.61Group Ⅲa R_f: Al 0.02, Zn 0.73Group Ⅲb R_f: Fe 0.99, Co 0.44, Mn 0.30, Ni 0.00Group Ⅳa R_f: Ag 0.16, Pb 0.00, Hg 0.80Group Ⅳb R_f: Pb 0.02, Cu 0.30, Bi 0.67, Cd 0.82, Hg 0.90Group V R_f: As 0.79, Sb 0.93, Sn 0.95Besides, we have found a number of common reagents which can be used to develop the cations on such kind of filter paper. After chromatographic separation, their sensitivity is determined. The R_f of both the ascending and descending processes has very close values. When temperature varies within 5°C, the R_f values change very little.

1.国产抚顺东一廠细号濾纸对无机阳离子層析的效果不低於进口滤纸。为了適應该纸的性質,铝族、银族、砷族所用溶剂曾略加修改。并找出该纸所含杂質较多,使用前须先用该组溶剂上昇一次,同时又可消除鬼斑(ghost spot)。 2.在此国产濾纸上较全面地整理了各分析组离子層析的条件,以便於未知物在此纸上进行系统層析及检验。并對層析後的離子进行了靈敏度的测定。 3.在国产纸上層析无机陽離子时,温度以及上昇法與下降法對R_f值之影响不大。

 
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