Question: When was the private Ivy League research university in Hanover established in which  Russell P. Hughes is a  Research Professor in the Department of Chemistry?

Context paragraphs:
Brown University: Brown University is a private Ivy League research university in Providence, Rhode Island, United States.  Founded in 1764 as the College in the English Colony of Rhode Island and Providence Plantations, Brown is the seventh-oldest institution of higher education in the United States and one of the nine colonial colleges chartered before the American Revolution.

Dartmouth College: Dartmouth College ( ) is a private Ivy League research university in Hanover, New Hampshire, United States.  Established in 1769 by Eleazar Wheelock, it is the ninth-oldest institution of higher education in the United States and one of the nine colonial colleges chartered before the American Revolution.  Although founded as a school to educate Native Americans in Christian theology and the English way of life, Dartmouth primarily trained Congregationalist ministers throughout its early history before it gradually secularized, emerging at the turn of the 20th century from relative obscurity into national prominence.

Columbia University: Columbia University (Columbia; officially Columbia University in the City of New York), established in 1754, is a private Ivy League research university in Upper Manhattan, New York City, often cited as one of the world's most prestigious universities.

Harvard University: Harvard University is a private Ivy League research university in Cambridge, Massachusetts, established in 1636, whose history, influence, and wealth have made it one of the world's most prestigious universities.

Princeton University: Princeton University is a private Ivy League research university in Princeton, New Jersey, United States.  Founded in 1746 in Elizabeth as the College of New Jersey, Princeton is the fourth-oldest institution of higher education in the United States and one of the nine colonial colleges chartered before the American Revolution.  The institution moved to Newark in 1747, then to the current site nine years later, where it was renamed Princeton University in 1896.

Russell P. Hughes: Russell P. Hughes (born December 23, 1946) an American/British chemist, is the Frank R. Mori Professor Emeritus and Research Professor in the Department of Chemistry at Dartmouth College.  His research interests are in organometallic chemistry, with emphasis on the chemistry of transition metal interacting with fluorocarbons.  His work in this area led to several creative syntheses of complexes between metal complexes and perfluorinated hydrocarbon fragments.

University of Pennsylvania: The University of Pennsylvania (commonly known as Penn or UPenn) is a private Ivy League research university located in Philadelphia, Pennsylvania, United States.  Incorporated as The Trustees of the University of Pennsylvania, Penn is one of 14 founding members of the Association of American Universities and one of the nine colonial colleges chartered before the American Revolution.

Tuck School of Business: The Amos Tuck School of Business Administration is the graduate business school of Dartmouth College, an Ivy League research university in Hanover, New Hampshire, United States.  Founded in 1900, Tuck is the oldest graduate school of business in the world, and was the first institution to offer master's degrees in business administration.  It is one of six Ivy League business schools.

Brown University School of Engineering: The Brown University School of Engineering is the engineering school at Brown University, a private Ivy League research university located in Providence, Rhode Island.  The school offers both graduate and undergraduate study in the field.  Undergraduate students may declare their major in engineering as late as the end of their sophomore year.

Yale University: Yale University is an American private Ivy League research university in New Haven, Connecticut.  Founded in 1701, it is the third-oldest institution of higher education in the United States and one of the nine Colonial Colleges chartered before the American Revolution.

Supporting paragraphs: Russell P. Hughes Dartmouth College
Answer: 1769