Optical rotatory dispersion and circular dichroism of cytochrome oxidase.
Optical rotatory dispersion of the oxidized and the reduced cytochrome oxidase has been measured from 196 to 550 nm. The experimental data have been analyzed in order to separate the extrinsic cotton effects from the rotations of the protein backbone. From the resolution, two cotton effects of similar sign are obtained in the Soret region. For the reduced enzyme, the cotton effect centered at 446.5 nm shows a molar amplitude of 192 k-degrees with a band width of 5.3 nm and rotational strength of 0.25 Debye magneton; the second cotton effect centered at 444 nm shows a molar amplitude of 45 k-degrees with a band width of 12.9 nm and rotational strength of 0.14 Debye magneton. Upon oxidation, the centers of these cotton effects shift to 432 and 423.7 nm. The amplitudes become 114 and 122 k-degrees with band widths of 6.1 and 11.2 nm and rotational strengths of 0.18 and 0.35 Debye magneton, respectively. In addition, a less defined third cotton effect centered at 376 nm appears with an amplitude of 28 k-degrees, band width of 18 nm, and rotational strength of – 0.15 Debye magneton. The circular dichroic curves constructed from the optical rotatory dispersion data by the Kronig-Kramers transform are in general agreement with the experimentally determined spectra. 
 
 
 
The backbone rotations are analyzed and expressed in the terms of Shechter-Blout's parameters. The effective helicity thus computed is 50% for the reduced and 44.5% for the oxidized form. 
 
 
 
The sources of the Soret cotton effects are discussed along with the possibilities of the components present (cytochromes a and a3 and copper), the intrinsic property of the Soret transition, possible splitting of the Soret band, interactions with the protein helix, and heme-heme and heme-copper couplings. The fact that the optical rotatory dispersion and circular dichroism behavior is dependent upon the oxidation state of cytochrome oxidase could arise either from an altered conformation of the protein backbone and/or from an altered interaction with the heme group. Regardless of the possibilities, the geometrical conformation of cytochrome oxidase and the electronic relation between the prosthetic group and the apoenzyme is dependent upon the oxidation state of the enzyme.
AN ANALYSIS OF THE OPTICAL ROTATORY DISPERSION OF POLYPEPTIDES AND PROTEINS. II.
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A new method of near field analysis
The problem of the accurate determination of the total electromagnetic field produced by a current distribution on a circular disc type aperture is examined. For comparison of the near and Fresnel region solutions, an exact Maxwellian integral is used as the starting point. Aperture and space coordinates are separated by the use of Bessel function addition theorems, allowing the field to be expressed as a sum of terms containing radial and angular integrals. The radial integrals involve only the disc (aperture) distribution and coordinates while the angular integrals involve only the elevation angle. The distance from origin appears implicitly in the series coefficients. These integrals are suitable for high speed computations and have been evaluated for a number of cases. The results are compared with the small angle and general Fresnel formula values for various observation angles, distances from the aperture, and aperture distributions.