Research data — including lab notebooks — are the property of NC State University and must remain in the primary laboratory at all times. If you must have access to the information outside of the lab, make copies and return the notebook to the lab immediately.
If this official policy of NC State University is not convincing, then read the government’s position on lab notebooks, citing from 45CFR93:
Burden of proof. (1) The institution or HHS has the burden of proof for making a finding of research misconduct. The destruction, absence of, or respondent’s failure to provide research records adequately documenting the questioned research is evidence of research misconduct where the institution or HHS establishes by a preponderance of the evidence that the respondent intentionally, knowingly, or recklessly had research records and destroyed them, had the opportunity to maintain the records but did not do so, or maintained the records and failed to produce them in a timely manner and that the respondent’s conduct constitutes a significant departure from accepted practices of the relevant research community.