Except for a scale factor, in polar coordinates (d, theta ): The attached Figure

Question

Except for a scale factor, in polar coordinates (d, theta ): The attached Figure shows sketches of contours of the following hybrid orbital (in the yz plane) where h = +0.0485 (solid line) and -0.0485 (dashed line). Generation of the contours involved solving Eq. 1 for 0 as a function of d and constructing (y, z) coordinates from the (9,d) coordinates using the relationships (sin(phi) = +/1 in the yz plane): z = d cos(theta) y = +/-d sin(theta) The acos() function will produce values for theta in radians. For extra credit, determine the (0,theta) coordinates for the 4 points at which the two lobes cross the z-axis. Find the d values to a precision of at least four significant figures. The nucleus is the point at (0,0).

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