The phrase "bound to the" is correct and usable in written English.
It is used when something is connected to something else in a specific way. For example, "We are bound to the promise we made to each other".
It would be bound to the other atoms.
Most regional partners were bound to the network by contract.
His leash, however, was bound to the woman's wrist, and she managed to hold on.
His life was bound to the Revolution, and he sacrificed his lyric sensibility.
I understood that the box contained the knives which would be bound to the roosters' feet.
He kills his nemesis Marcus but is bound to the corpse by handcuffs.
Our statecraft, our learning Delivered them bound to the Pit and alive to the burning.
His feet were bound to the chair, because he could not control his legs.
Their children and families are bound to the same devices, too.
America and our allies must not be bound to the past.
We are as bound to the laws of natural selection as a bacterium or a tortoise.
