robyaw,
Thanks a lot for your answer. And I apologize for such a delay in replying. I had actually been off for a while. Your solution indeed works. I had to create 3 CRON triggers for the time range that I had specified. You were right with the time ranges that you had mentioned. However, for the 3 CRON expressions that you had mentioned. I am afraid they might not work as intended. These expressions work for the time range : 2:15AM - 5:20AM - Everyday
1) * 15-59 2 * * ? - Every second from 2:15AM to 3:00AM, ie, 2:15:00AM to 2:59:59AM
2) * 0-59 3-4 * * ? - Every second from 3:00AM to 5:00AM, ie, 3:00:00AM to 4:59:59AM
3) * 0-19 5 * * ? - Every second from 5:00AM to 5:20AM, ie, 5:00:00AM to 5:19:59AM
@gauteh : Please note that Quartz .Net actually supports secondly trigger.
Hope this helps others who might need a solution to a similar problem.
Thanks,
Ram