This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

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Here are the answers to the questions about the crystal drawing:
a) Insert and label the elements of symmetry: • One 4-fold rotation axis (): Vertical, passing through the center of the crystal. • Four 2-fold rotation axes (): Horizontal, two parallel to the -axes, and two bisecting the angles between the -axes. • Five mirror planes (): One horizontal mirror plane, and four vertical mirror planes (two containing the -axes, and two bisecting the angles between the -axes). • One center of inversion (): Located at the center of the crystal.
b) Index the faces labelled G, H and J: G: H: J:
c) State, with reasons, the system to which the model belongs. Crystal system: Reason(s): The crystal possesses a single principal axis of four-fold rotational symmetry. Its two horizontal crystallographic axes ( and ) are equal in length and perpendicular to each other, while the vertical axis () is perpendicular to and but of a different length.
d) Which mineral crystallizes in such a habit?
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a) Insert and label the elements of symmetry: • One 4-fold rotation axis (C_4): Vertical, passing through the center of the crystal.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.