| Reference number | Title | Date |
| EC/1853/13 | Rankine, William John Macquorn: certificate of election to the Royal Society | |
| RR/3/232 | Referee's report by Thomas Romney Robinson, on a paper 'On the stability of loose earth' by William John Macquorn Rankine | 4 July 1856 |
| RR/7/55 | Referee's report by George Gabriel Stokes, on a paper 'On the mathematical theory of stream-lines, especially those with four foci and upwards' by William John Macquorn Rankine | 1870 |
| RR/6/16 | Referee's report by William John Macquorn Rankine, on a paper 'On the resistance of the air to the motion of elongated projectiles having variously formed heads' by Francis Bashforth | 21 April 1868 |
| RR/5/216 | Referee's report by James Clerk Maxwell, on a paper 'On plane water-lines in two dimensions' by William John Macquorn Rankine | [1864] |
| RR/6/162 | Referee's report by William John Macquorn Rankine, on a paper 'On the resistance of the air to rifled projectiles' by J A Longridge | 21 April 1868 |
| RR/6/240 | Referee's report by George Gabriel Stokes, on a paper 'On waves in liquids' by William John Macquorn Rankine | 27 June 1868 |
| RR/6/239 | Referee's report by William John Macquorn Rankine, on a paper 'On the relation of form and dimensions to weight of material in the construction of iron-clad ships' by Edward James Reed | 26 June 1868 |
| RR/7/53 | Referee's report by James Clerk Maxwell, on a paper 'On the thermodynamic theory of waves of finite longitudinal disturbance' by William John Macquorn Rankine | 26 March 1870 |
| RR/5/215 | Second referee's report by William Thomson, Lord Kelvin, on a paper 'On plane water-lines in two dimensions' by William John Macquorn Rankine | 18 February 1864 |
| RR/5/212 | Referee's report by George Gabriel Stokes, on a paper 'On the exact form of waves near the surface of deep water' by William John Macquorn Rankine | 18 March 1863 |
| RR/7/56 | Referee's report by George Gabriel Stokes, on a paper 'On the mathematical theory of stream-lines, especially those with four foci and upwards' by William John Macquorn Rankine | 19 January 1871 |
| RR/6/238 | Referee's report by George Biddell Airy, on a paper 'On waves in liquids' by William John Macquorn Rankine | 16 June 1868 |
| RR/7/185 | Letter from William John Macquorn Rankine, on a paper 'Volcanic energy: an attempt to develop its true origin and cosmical relations' by Robert Mallet | 3 July 1872 |
| RR/5/213 | Referee's report by George Biddell Airy, on a paper 'On the exact form of waves near the surface of deep water' by William John Macquorn Rankine | 30 March 1863 |
| MC/11/420 | Letter from W J Millar, Institution of Engineers & Shipbuilders in Scotland, Secretary's Office, 100 Wellington Street, Glasgow, to the Secretary of the Royal Society, London | 20 September 1879 |
| PT/56/2/2 | Plate, 'Surfaces of uniform thrust' by William John Macquorn Rankine | 7 June 1856 |
| RR/7/52 | Letter from William Thomson, Lord Kelvin on a paper 'On the thermodynamic theory of waves of finite longitudinal disturbance' by William John Macquorn Rankine to the Secretary of the Royal Society | 9 March 1870 |
| RR/7/118 | Letter from William John Macquorn Rankine, on a paper 'On the uniform flow of a liquid' by Henry Moseley to the Secretary of the Royal Society | 13 May 1871 |
| RR/7/9 | Referee's report by William John Macquorn Rankine, on a paper 'On the cause and theoretic value of the resistance of flexure in beams' by William Henry Barlow | 1870 |
| RR/7/54 | Letter from William John Macquorn Rankine, on his paper 'On the thermodynamic theory of waves of finite longitudinal disturbance' to the Secretary of the Royal Society | 24 May 1870 |
| RR/6/192 | Referee's report by William John Macquorn Rankine, on a paper 'On the mechanical possibility of the descent of glaciers, by their weight only' by Henry Moseley | 24 February 1869 |
| RR/3/233 | Referee's report by Arthur Cayley, on a paper 'On the stability of loose earth' by William John Macquorn Rankine | 7 November 1856 |
| RR/7/55bis | Referee's report by James Clerk Maxwell, on a paper 'On the mathematical theory of stream-lines, especially those with four foci and upwards' by William John Macquorn Rankine | 2 March 1870 |
| MC/11/424 | Letter from W J Millar, Institution of Engineers & Shipbuilders in Scotland, Secretary's Office, 100 Wellington Street, Glasgow, to the Secretary of the Royal Society, London | 10 October 1879 |
| RR/7/132 | Referee's report by William John Macquorn Rankine and William Thomson, Lord Kelvin, on a paper 'On the unequal distribution of weight and support in ships, and its effects in still water, in waves, and in exceptional positions on shore' by Edward James Reed | 8 March 1871 |
| PT/54/3 | Paper, 'On axes of elasticity and crystalline forms' by William John Macquorn Rankine | June 1855 |
| PT/48/6/6 | Plate, figures 18-20 showing indicator diagrams and diagrams of greatest efficiency of thermodynamic engines by William John Macquorn Rankine | 3 December 1853 |
| PT/48/6/5 | Plate, figures 14-17 showing true indicator diagrams and diagrams of greatest efficiency of thermodynamic engines by William John Macquorn Rankine | 3 December 1853 |
| PT/48/6/4 | Plate, figures 10-13 showing curves of free expansion, isothermal curves, and apparent specific heats by William John Macquorn Rankine | 3 December 1853 |
| PT/48/6/2 | Plate, figures 1-5 showing diagrams of expansive action of heat and isothermal curves by William John Macquorn Rankine | 3 December 1853 |
| PT/48/6/3 | Plate, figures 6-9 showing curves of transmission, isothermal curves, and latent heat of expansion by William John Macquorn Rankine | 3 December 1853 |
| PT/48/6/7 | Plate, figures 21-24 showing isothermal lines, pressure in a vapour engine, and curve of free expansion by William John Macquorn Rankine | 3 December 1853 |
| PT/48/6/1 | Manuscript, 'On the geometrical representation of the expansive action of heat, and the theory of thermo-dynamic engines' by William John Macquorn Rankine | 3 December 1853 |
| RR/2/199 | Referee's report by William Hopkins, on a paper 'On the geometrical representation of the expansive action of heat, and the theory of thermo-dynamic engines' by William John Macquorn Rankine | [1854] |
| RR/3/102 | Referee's report by William John Macquorn Rankine, on a paper 'On the resistance of tubes to collapse' by William Fairbairn | 29 May 1858 |
| PT/56/2 | Paper, 'On the stability of loose earth' by W J [William John] Macquorn Rankine | 7 June 1856 |
| RR/7/119 | Referee's report by William John Macquorn Rankine, on a paper 'On the uniform flow of a liquid' by Henry Moseley | 13 May 1871 |
| RR/4/88 | Referee's report by William John Macquorn Rankine , on a paper 'On the resistance of glass globes and cylinders to collapse from external pressure; and on the tensile and compressive strength of various kinds of glass' by William Fairbairn and Thomas Tate | 6 July 1859 |
| RR/3/234 | Referee's report by William Parsons, Earl of Rosse, on a paper 'On the stability of loose earth' by William John Macquorn Rankine | 22 October 1856 |
| PT/68/5 | Paper, 'On the exact form of waves near the surface of deep water' by William John Macquorn Rankine | [1862] |
| PT/70/7/4 | Plate, graph of lissoneoïds by unknown artist | 1863 |
| PT/70/7/2 | Plate, series of curves of excess of ordinate by unknown artist | 1863 |
| PT/70/7/1 | Manuscript, 'On plane water-lines' by William John Macquorn Rankine | 27 July 1863 |
| PT/70/7/6 | Plate, graph of lissoneoïds and trochoids by unknown artist | 1863 |
| PT/56/2/1 | Manuscript, 'On the stability of loose earth' by W J [William John] Macquorn Rankine | 7 June 1856 |
| PT/70/7/3 | Plate, graph of oval and oögenous neoïds by unknown artist | 1863 |
| PT/70/7/5 | Plate, graph of neoïds by unknown artist | 1863 |
| RR/5/214 | Referee's report by William Thomson, Lord Kelvin, on a paper 'On plane water-lines in two dimensions' by William John Macquorn Rankine | 17 February 1864 |
| RR/5/128 | Referee's report by William John Macquorn Rankine, on a paper 'On the thermal effects of fluids in motion.— Part IV' by William Thomson, 1st Baron Kelvin and James Prescott Joule | 10 July 1862 |
| PT/75/8/4 | Diagrams, graphs of general equation of thermodynamics by WJMR [William John Macquorn Rankine] | December 1858 |
| MC/5/121 | Letter from W J [William John] Macquorn Rankine, 59 St Vincent Street, Glasgow, to Colonel [Edward] Sabine, Vice-President and Treasurer of the Royal Society | 4 November 1853 |
| MC/5 | Volume 5 of miscellaneous correspondence regarding business matters, sent to the Royal Society | 1851-1858 |
| PT/70/7 | Paper, 'On plane water-lines' by William John Macquorn Rankine | 27 July 1863 |
| PT/48/6 | Paper, 'On the geometrical representation of the expansive action of heat, and the theory of thermo-dynamic engines' by William John Macquorn Rankine | 3 December 1853 |
| MC/8/35 | Letter from C W [Charles Watkins] Merrifield, Honorary Secretary of the Institution of Naval Architects, South Kensington Museum, to the Secretary of the Royal Society | 6 April 1867 |
| RR/5/160 | Referee's report by William John Macquorn Rankine, on a paper 'On the true theory of pressure as applied to elastic fluids' by R Moon | 17 February 1863 |
| MC/9/217 | Letter from W [William] Macquorn Rankine, Admiralty, London, to [George Gabriel] Stokes, [Secretary of the Royal Society] | 19 June 1871 |
| MC/9 | Volume 9 of miscellaneous correspondence regarding business matters, sent to the Royal Society | 1870-June 1873 |
| RR/2/200 | Referee's report by Francis Sibson, on a paper 'On a geometrical representation of the action of the heart' by William John Macquorn Rankine | 11 March 1852 |
| AP/38/13/2 | Figures, equilibriated arch by W J [William John] Macquorn Rankine | 18 February 1856 |
| AP/38/13 | Letter, 'On the mathematical theory of the stability of earthwork and masonry' from W J [William John] Macquorn Rankine to George Gabriel Stokes | 18 February 1856 |
| AP/38/13/1 | Manuscript, 'On the mathematical theory of the stability of earthwork and masonry' from W J [William John] Macquorn Rankine to George Gabriel Stokes | 18 February 1856 |
| MC/11 | Volume 11 of miscellaneous correspondence regarding business matters, sent to the Royal Society | 1877-1879 |
| RR/7/51 | Referee's report by William Thomson, Lord Kelvin on a paper 'On the thermodynamic theory of waves of finite longitudinal disturbance' by William John Macquorn Rankine | 7 March 1870 |
| AP/50/13 | Unpublished paper, 'On waves in liquids' by W J [William John] Macquorn Rankine | 1868 |
| AP/34/19 | Unpublished paper, 'On the application of the law of the conservation of energy to the determination of the magnetic meridian on board ship; when out of reach or out of sight of land' by William John Macquorn Rankine | 2 April 1853 |
| RR/7/133 | Referee's report by William John Macquorn Rankine, on a paper 'On the unequal distribution of weight and support in ships, and its effects in still water, in waves, and in exceptional positions on shore' by Edward James Reed | 13 May 1871 |
| AP/51/10 | Unpublished extract, 'On the thermodynamic theory of waves of finite longitudinal disturbance' by W J [William John] Macquorn Rankine | 11 April 1869 |
| MC/8 | Volume 8 of miscellaneous correspondence regarding business matters, sent to the Royal Society | 1867-1869 |
| RR/5/111 | Referee's report by William John Macquorn Rankine, on a paper 'On the joint-systems of Ireland and Cornwall, and their mechanical origin' by Samuel Haughton | 14 June 1864 |
| RR/2/12 | Referee's report by William John Macquorn Rankine, on a paper 'On the existence of an element of strength in beams subjected to transverse strain, arising from the lateral action of the fibres or particles on each other, and named by the author "Resistance of Flexure"' by William Henry Barlow | 29 April 1855 |
| RR/2/198 | Referee's report by George Gabriel Stokes, on a paper 'On the geometrical representation of the expansive action of heat, and the theory of thermo-dynamic engines' by William John Macquorn Rankine | 29 April 1854 |
| RR/2/201 | Referee's report by Richard Quain, on a paper 'On a geometrical representation of the action of the heart' by William John Macquorn Rankine | 4 February 1852 |
| RR/3/18 | Referee's report by William John Macquorn Rankine, on a paper 'On an element of strength in beams subjected to transverse strain, named by the author - the resistance of flexure' by William Henry Barlow | 1857 |
| RR/3/229 | Referee's report by William Thomson, Lord Kelvin on a paper 'On the stability of loose earth' by William John Macquorn Rankine | 12 January 1855 |
| RR/3/230 | Letter from John Couch Adams, on a paper 'On the stability of loose earth' by William John Macquorn Rankine | 29 December 1855 |
| RR/3/231 | Referee's report by unnamed referee, on a paper 'On the stability of loose earth' by William John Macquorn Rankine | 26 January 1856 |
| RR/3/235 | Referee's report by William Fairbairn, on a paper 'On the stability of loose earth' by William John Macquorn Rankine | 28 November 1856 |
| RR/4/213 | Referee's report by William Thomson, Lord Kelvin on a paper 'On the thermo-dynamic theory of steam-engines with dry saturated steam, and its application to practice' by William John Macquorn Rankine | 11 May 1859 |
| RR/4/214 | Referee's report by William Whewell, on a paper 'On the thermo-dynamic theory of steam-engines with dry saturated steam, and its application to practice' by William John Macquorn Rankine | 3 March 1859 |
| RR/4/265 | Referee's report by William John Macquorn Rankine, on a paper 'On the thermal effects of fluids in motion - Part III - On the changes of temperature experienced by bodies moving through air' by William Thomson, Lord Kelvin and James Prescott Joule | 29 June 1860 |
| RR/5/1 | Referee's report by William John Macquorn Rankine, on a paper 'On the strains in the Interior of beams' by George Biddell Airy | 26 January 1863 |
| RR/6/182 | Referee's report by William John Macquorn Rankine, on a paper 'On the law of the resistance of the air to rifled projectiles' by Charles Watkins Merrifield | 1 June 1868 |
| HS/14/469 | Letter, from William John Macquorn Rankine to Sir John Herschel, dated at 51 Avenue Road | 20 January 1871 |
| HS/14/468 | Letter, from Sir John Herschel to William John Macquorn Rankine, dated at Collingwood | 14 January 1871 |