It is well known that the surface energy of a low-index surface of a metal, e.g. Al depends on its orientation or the surface.

Is the work function of a metal also dependent on its surface intrinsically ?

This puzzle originates from two principles:

1). work function of a metal is the minimum energy required to release an electron from the surface of a metal by a photon. It relates to the electronegativity of the metal, as well.

2). the atomic density and related electron density at the surface of a metal varies, which should have impacts on its capability to attract electrons. This indicates possible dependences of the work functions on its surfaces, or anisotropy of work function of a metal.

This induces the question, is work function of a metal is also intrinsically anisotropic ?

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