We study water adsorption-induced deformation of a monolithic, mesoporous silicon membrane traversed by independent channels of ∼8 nm diameter. We focus on the elastic constant associated with the Laplace pressure-induced deformation of the membrane upon capillary condensation, i.e. the pore-load modulus. We perform finite-element method (FEM) simulations of the adsorption-induced deformation of hexagonal and square lattices of cylindrical pores representing the membrane. We find that the pore-load modulus weakly depends on the geometrical arrangement of pores, and can be expressed as a function of porosity. We propose an analytical model which relates the pore-load modulus to the porosity and to the elastic properties of bulk silicon (Young's modulus and Poisson's ratio), and provides an excellent agreement with FEM results. We find good agreement between our experimental data and the predictions of the analytical model, with the Young's modulus of the pore walls slightly lower than the bulk value. This model is applicable to a large class of materials with morphologies similar to mesoporous silicon. Moreover, our findings suggest that liquid condensation experiments allow one to elegantly access the elastic constants of a mesoporous medium.Mesoporous silicon (pSi) prepared by electrochemical etching of bulk silicon has been attracting much attention from both fundamental and applied sciences owing to its unique optical, electrical and thermal properties [1][2][3][4][5][6]. While control over mechanical properties of pSi is necessary for its applications, the understanding of its response to mechanical loads is mainly limited to measuring Young's modulus of porous samples [7,8].Since pSi can be prepared as a bulk (monolithic) mesoporous system with parallel, channel-like independent pores, it has been of a particular interest for studies of fluid adsorption [4]. On the one hand, this matrix allows one to study the influence of spatial confinement on the physics and chemistry of liquids [9][10][11][12][13][14][15]. On the other hand, it is possible to synthesize composite materials with finely tuned optical and electrical properties by liquid adsorption or infiltration [4,16]. Therefore, exploration of the mechanical properties of silicon relevant to interactions with liquids, the topic of this Letter, is also of high importance.When a fluid is adsorbed in a mesopore, it exerts a pressure on the pore walls, which is typically of the order of 10 7 Pa [17]. This pressure causes deformation of the pore, and as a result deformation of the porous material as a whole. This effect, known as adsorption-induced deformation has been experimentally observed for various mesoporous materials: Vycor glass [18,19], templated silica [20][21][22], low-k films [23,24], aerogels [25,26], porous gold [27] and pSi [28]. There are two ways to * ggor@princeton.edu measure the adsorption strains experimentally: for materials which can be prepared as macroscopic samples, the dilatometric technique can be used, and the reported strain is...