During the postwar years, Finney contributed several long-form articles to the "Bulletin of the Atomic Scientists". The April 1954 issue of the "Bulletin of the Atomic Scientists" included Finney's article "Atomic Dilemma." After more than a year in the White House, complained Finney, President Eisenhower had yet to make clear to the American public the extent of U.S. "atomic capabilities". In September 1954, the "Bulletin of the Atomic Scientists" ran an article, "The Threat to Atomic Science," consisting of excerpts from several of Finney's recent pieces for the "Buffalo News". Writing against the background of the Robert Oppenheimer case, which had resulted in the withdrawal of official security clearances from the scientist who had run the Los Alamos lab, Finney wrote about the often intense disagreements between atomic scientists and their military and government superiors about such matters as unclear or uncertain government objectives, the alleged "pampering" of certain prominent professors, poor coordination and communication, wasteful duplication of scientific efforts, and officials' desire for closer supervision of projects versus scientists' desire for greater independence. Finney contributed an article, "A Reporter's Views on Atomic Secrecy," to the September 1955 issue of the "Bulletin of the Atomic Scientists". "The time has come," he argued, "for the federal government generally and the Atomic Energy Commission specifically to shift from a negative to an affirmative information policy." Current policies, he suggested, had "stifled popular interest in and speculation about nuclear physics," thus stifling, in turn, "public understanding" of nuclear science. To be sure, the AEC had "done an excellent job helping the country's schools get up-to-date nuclear physics into their curricula." But too many scientists were still counterproductively critical of efforts to communicate the essence of their work in prose that would make it understandable and engaging to the lay readers. Finney proposed that the AEC employ three or four individuals capable of explaining new discoveries to general reporters in such a way that the latter could pass on important information to newspaper readers in cogent and comprehensible form. On a 1959 episode of "Face the Nation", Finney questioned Congressman Chet Holifield of the Joint Committee on Atomic Energy about the potential perils of nuclear testing. In a 1965 issue of "The Saturday Evening Post", Finney reviewed Senator Charles E. Potter's memoir "Days of Shame", in which McCarthyism was a central topic. He called it "must reading" that added new details and provided insight into President Eisenhower's "perplexity".