Yes, it is easier to remove a core or a valence electron from an atom.
Valence electrons are the furthest from the positive charge (protons) and therefore also appear to be easier to remove than core electrons this signifies that electrons need less energy to transfer out from the atom. Electrons orbit around a nucleus in orbitals.
Quantum mechanics determines these orbitals and the energy required to remove each electron from the atom. Each of these orbitals helps to form an electron shell in the atom. Valence electrons are electrons in an atom's outermost atomic shell that circle the nucleus.
Closer to the nucleus, electrons are in filled orbitals and are referred to as core electrons. This distinction is due to the fact that electric force is an inverse square law. Furthermore, inner shell core electrons have lower energy levels than outer shell valence electrons. This means that electrons in the inner shells can absorb energy and migrate (jump) to the outer shells.
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