A) term1 term2    with both term1 and term2    [ carry-on luggage ]

B) term1 OR term2 term1 | term2    with either term1 or term2 or both   
[ Tahiti OR Hawaii ]
[ Tahiti | Hawaii ]

C) "term"    with term (Put quotation marks around terms that are stop words — that is, words Google would otherwise ignore — or when you want Google to return only pages that match your search terms exactly.)    [ "i" spy ]

D) –term    without term    [ twins minnesota –baseball ]

E) ~term    with term or one of its synonyms (currently supported on Web and Directory search)
[ google ~guide ]

F) number1..number2    with a number in the specified range    [ recumbent bicycle $250..$1000 ]

G) "terms1 * terms2"    with the phrase (enclosed in quotes) and * replaced by one or more words   
[ “Google * my life” ]

H) “phrase“     with the exact phrase, a proper name, or a set of words in a specific order   
[ “I have a dream” ]
[ “Rio de Janeiro” ]

Reference : http://www.googleguide.com/basic_operator_summary.html

1- Web Search:    allinanchor:, allintext:, allintitle:, allinurl:, cache:, define:, filetype:, id:, inanchor:, info:, intext:, intitle:, inurl:, link:, related:, site:

2- Image Search: allintitle:, allinurl:, filetype:, inurl:, intitle:, site:

3- Groups:    allintext:, allintitle:, author:, group:, insubject:, intext:, intitle:

4- Directory: allintext:, allintitle:, allinurl:, ext:, filetype:, intext:, intitle:, inurl:

5- News: allintext:, allintitle:, allinurl:, intext:, intitle:, inurl:, location:, source:

6- Product Search: allintext:, allintitle:

Reference : http://www.googleguide.com/advanced_operators.html