Describe the end of the first party system in the late 1810's and the beginning of the second one in the 1820's.

The two party system in the U.S. began in the 1790’s.  The
two parties were the Democratic-Republicans led by Thomas Jefferson and the Federalists
led by Alexander Hamilton.  This first party system began to end after the War of 1812.
 Most Americans perceived the end of this war as an American victory, and thus began the
Era of Good Feelings, which was a time of very little partisanship in the government. 
The Federalist Party began its decline when James Monroe defeated the Federalist
candidate in 1816.  The following election in 1820 spelled the end of the Federalist
Party when Monroe faced no real opposition in his
reelection.

The bitter election of 1824 meant
the end of the Era of Good Feelings. Four Democratic-Republicans ran for president,
Andrew Jackson, John Quincy Adams, Henry Clay, and William H. Crawford.  No one received
a majority of electoral votes so the election was decided by the House of
Representatives. The House chose John Quincy Adams as president even though Andrew
Jackson received more popular votes and electoral votes than any other candidate. 
Jackson and his supporters claimed that there was a “corrupt bargain” with the election
of Adams by the House of Representatives.  With growing sectional differences within the
U.S. and with the bitterness experienced in the election of 1824, new political parties
were established.