*19. mmh The drawing shows sodium and chloride ions positioned at the corners of a cube that is part of the crystal structure of sodium chloride (common table salt). The edges of the cube are each 0.281 nm (1 nm = 1 nanometer = 10^-9 m) in length. What is the value of the angle q in the drawing?

So let’s call the blue line running from sodium atom on bottom left to sodium atom on bottom right, b for base of triangle. Let’s call the brown line running from bottom sodium atom on right up to chloride atom on upper right, h for height. Then we get angle from

So we need to find b and h. h is the spacing provided 0.281 nm. b is the hypotenuse of a right triangle with the other two sides being again the spacing 0.281 nm, so b is

So

Solving for q

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This page last updated on January 11, 2020