Study of the electronic, bonding, elastic and acoustic properties of covellite via first principles
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LDA and GGA-PBESOL are found suitable for studying properties of covellite.

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Calculated electronic properties explain the corresponding experimental findings well.

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Studies show that covellite is mechanically stable but anisotropic.

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Close relation exists between C44 and the c-axis easy-cracked property of covellite.

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Slowness curves are computed and discussed to investigate the acoustic properties.

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