Put this molecule in a 3d coordinate system so that the midpoint between two hydrogen atoms is at 0, and the line that crosses these two hydrogens is lying on a Y-axis so that the third hydrogen is on X-axis. Nitrogen atom is in positive Z-direction. We know that the centre of gravity of an equilateral triangle of side is
The Y-coordinate for our disposition is
What left is to find and .
But on the edge of any triangle HNH we have a right triangle with base , hypothenuse of 0.10 nm, and angle of So, we can find :
Regarding the z-coordinate: consider this molecule as a dumbbell with 3 hydrogens on one side and one nitrogen on the other, the distance between the 'weights' is the height of the pyramid:
Thus, the z-coordinate of the centre of gravity of the molecule is
Therefore, the center of gravity has the following coordinates:
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