Reduced local energy calculations on X¹Sigmaâ ½gHâ and 1¹S He /|nGerald F. Thomas. -- 260 St. Catharines [Ont.] : Dept. of Chemistry, Brock University,

The one-electron reduced local energy function, t ~ , is introduced and has the property < tL)=(~>. It is suggested that the accuracy of SL reflects the local accuracy of an approximate wavefunction. We establish that <~~>~ <~2,> and present a bound formula, E~ , which is such that where Ew is Weinstein's lower bound formula to the ground state. The nature of the bound is not guaranteed but for sufficiently accurate wavefunctions it will yield a lower bound. ,-+ 1'S I I Applications to X LW Hz. and ne are presented.

Important state papers : declaration of war, Washington, June 18, 4 o'clock, P.M.

Message to the Senate and House of Representatives of the United States / James Madison -- Report : the Committee on Foreign relations, to whom was referred the message of the President of the United States of the 1st of June, 1812 -- An Act, declaring war between the United Kingdom of Great Britain and Ireland and the dependencies thereof, and the United States of America and their territories -- Address of the Senate to the people of the Commonwealth of Massachusetts.

Letter from the acting Secretary of War, transmitting information relative to the claims of the State of Massachusetts for payment of the expenses of the militia ordered out by the executive authority of the state, during the late war. --

15th Congress, 1st session, 1817-1818, House. Doc. 81.

Letter from the Secretary of State to Mr. Monroe, on the subject of the attack on the Chesapeake : the correspondence of Mr. Monroe with the British Government ; and also Mr. Madison's correspondence with Mr. Rose on the same subject. --

March 23, 1808. Printed by order of the House of Representatives.

Massachusetts militia claims : letter from the Secretary of War, transmitting, in pursuance of a resolution of the House of Representatives of the 15th Dec., 1826, a report upon the subject of the claims of the State of Masachusetts for certain services rendered during the late war.--

20th Congress, 2nd session. House Doc. no.3.

Message from the President of the United States, transmitting of a report of the Secretary of State, in relation to individuals selected from American prisoners of war, and sent to Great Britain for trial, and also in relation to any orders for retaliation, &c., &c.--

April 16, 1814. Printed by order of the Senate of the United States.

Message from the President of the United States, transmitting a report of the Secretary of State, in obedience to a resolution of the thirteenth inst. "requesting the President to lay before this House such documents relative to the Russian mediation as in his opinion it may not be improper to communicate." --

United States,13th Congress, 2d session, 1813-1814. House. Doc. no. 35.

Message from the President of the United States, transmitting copies of a letter from the British Secretary of State for Foreign Affairs, to the Secretary of State, with the answer of the latter.--

January 6, 1814. Ordered to lie on the table.

Report of the Committee to whom was Referred the Correspondence between Mr. Monroe and Mr. Canning, and between Mr. Madison and Mr. Rose, relative to the attacked of Chesapeake : and also a communication from the President of the United States of the 30 March last, with a letter from Mr. Erskine to the Secretary of State, and a letter from M. Champagny to Gen. Armstrong.--

April 16, 1808. Printed by Order of the Senate.

Important state papers : declaration of war, Washington, June 18, 4 o'clock, P.M

Message to the Senate and House of Representatives of the United States / James Madison -- Report : the Committee on Foreign relations, to whom was referred the message of the President of the United States of the 1st of June, 1812 -- An Act, declaring war between the United Kingdom of Great Britain and Ireland and the dependencies thereof, and the United States of America and their territories -- Address of the Senate to the people of the Commonwealth of Massachusetts.

Letter from the acting Secretary of War, transmitting information relative to the claims of the State of Massachusetts for payment of the expenses of the militia ordered out by the executive authority of the state, during the late war

15th Congress, 1st session, 1817-1818, House. Doc. 81. February 20, 1817. Read, and ordered to lie upon the table.

Letter from the Secretary of State to Mr. Monroe, on the subject of the attack on the Chesapeake : the correspondence of Mr. Monroe with the British Government; and also Mr. Madison's correspondence with Mr. Rose on the same subject

March 23, 1808. Printed by order of the House of Representatives.

Message from the President of the United States, transmitting a report of the Secretary of State, in obedience to a resolution of the thirteenth inst.

Full Title: 47. Message from the President of the United States, transmitting a report of the Secretary of State, in obedience to a resolution of the thirteenth inst. "requesting the President to lay before this House such documents relative to the Russian mediation as in his opinion it may not be improper to communicate." United States,13th Congress, 2d session, 1813-1814. House. Doc. no. 35. January 18, 1814. Ordered to lie on the table. One letter in French with English translation Printed by Roger C. Weightman

Message from the President of the United States, transmitting copies of a letter from the British Secretary of State for Foreign Affairs, to the Secretary of State, with the answer of the latter

January 6, 1814. Ordered to lie on the table. -------------------------------------------------------------------------------- At head of title: [22]. -------------------------------------------------------------------------------- 13th Congress, 2nd Session, House. Doc. 22. Printed by Roger C. Weightman

A report of the Secretary of State, in relation to individuals selected from American prisoners of war, and sent to Great Britain for trial, and also in relation to any orders for retaliation

Printed by Roger C. Weightman