Thanks, G. Anand—just fulfilling my role, I guess. And mdkurlekar11—coming to your second query about the firing of an employee, I suggest you don't hold back the documentation—whether it's the Relieving Letter or otherwise.
But you haven't mentioned whether this guy was informed of the reasons 'why' he was being terminated ["...trying to spoil the office culture..."] and also what you mean/define by 'spoil the office culture'. Since you are in the IT industry, you would be aware that a few aspects that are quite normal/passe in the IT sector would be absolutely not acceptable in the Non-IT sector. Unless you have the HR Handbook in place within the company, it's tough to enforce such things legally and practically, in any worst-case scenarios.
To handle this specific case, suggest making him understand that what he did was very inappropriate in an official environment and then give him the Relieving Letter and other documents which he will need throughout his career, with a clear hint that the Company does have a choice of mentioning the actual reason for his termination in the records (which would be the only info to be accessed by any HR person during every future background check by his future employers down the years)—but wouldn't like to do so in the interest of his career. I am sure he will get the message and he may not press for his salary...or at best may settle for something in between what's okay for both.
I would suggest the second option/possibility (settling for something in between)—since it's always better for someone to leave without ill feelings, to the extent possible, and at the same time handle the company's interests. Plus, you will also need his F&F Settlement signed by him for your records, and this would also be a way to inform other employees as to what's acceptable and what's not, all the while being fair even in such matters.
And, I also suggest you get the HR Documentation (Handbook, Policies, etc.) in place ASAP—to ensure you don't land up in such situations in the future.
Regards,
TS