No, the bond between the "b" and the "h" in the BH4- ion is not a coordinate covalent bond. It is a regular covalent bond in which both the boron atom and the hydrogen atom contribute electrons to form the bond.
Coordinate covalent bonds occur when one atom donates a pair of electrons to another atom to form a bond. In the case of BH4-, the boron atom does not donate a pair of electrons to the hydrogen atom; instead, both atoms contribute electrons to form the bond.
Is the bond between the b and the h in bh4- a coordinate covalent bond?
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