What is the web ste address of the offical usgovernment's coin collection?

cdonaldmohr,

While there isn't an "official" Unites States Government coin
collection, the National Numismatic Collection (NNC) of the
Smithsonian Institution is the largest collection of numismatic items
(money) in North America and one of the largest in the world.  The NNC
is part of the Division of Information and Technology
(http://americanhistory.si.edu/csr/cadits.htm).  With over 1.5 million
different pieces including 450,000 coins, the NNC is maintains an
exhibition hall on the 3rd floor of National Museum of American
History which is located on the National Mall at:

14th Street and Constitution Avenue, N.W.
Washington, D.C.
General Information number: 202-357-3129

US Mail Inquiries
Smithsonian Information
SI Building, Room 153 
Washington, DC 20560-0010

The website of the NNC is http://americanhistory.si.edu/csr/cadnnc.htm

Thank you for your question and if you need any further clarification,
please let me know.

Regards,

-THV

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References:
Smithsonian Institution
http://www.si.edu

Here is an un official collection of US Coins.

www.pccoins.com

  Specializes in US Certified Coins:  Morgan Silver Dollars, Peace
Silver Dollars, Buffalo Nickels, Mercury Dimes, and Walking Liberty
half-dollars.   All coins listed have digital pictures and accurate
descriptions so that you as a coin collector can make an informed
decision.  All Certified coins have been graded by 3rd party grading
companies such as NGC or PCGS that have graded the inventory of Morgan
Silver Dollar, Peace Silver Dollars, Buffalo Nickels, Mercury Dimes,
and Walking Liberty half dollar.  With in this site you can also find
US coin links to informational services, clubs and organizations such
as ANA (American Numismatist Association,  FUN (Florida United
Numismatist), PCGS (Processional Coin Grading Company), and NGC
(Numismatist Guaranty Company).

     The most popular of the US coins is the Morgan Silver Dollar,
which was first, minted in 1879 and continued until 1921.  The Carson
City Silver Dollars, which came from that famous mint used to get rid
of some of the excess silver produced in the West.

     Next, rising in popularity is the Buffalo Nickels issued from
1913 to 1938 and also called Indian head nickels.

     Peace dollars were the last silver dollar from 1921 to 1935.  The
Peace Dollar was minted to honor WWI.

     Mercury Dimes minted from 1916 to 1945 contains 90% silver.  It
is often said that if the mercury dime were the size of the silver
dollar it would be the most popular minted coin.

     Walking Liberty half-dollar minted from 1916 ? 1947 contain 90%
silver which are commonly referred to as ?Walkers.?

Well that just a little history of US Coins.

Thanks