When clean silicon wafers are brought into intimate contact at RT, they are attracted to each other via van der Waals forces and form weak local bonds. This bonding can be made much stronger by annealing at higher temperatures5,6. Bonding can be done successfully with surfaces of either SiO2 to Si or SiO2 to SiO2. Bonding of Si wafers are most commonly used for silicon on insulator devices, silicon-based sensors and actuators, and optical devices7. The work described here takes wafer direct bonding in a different direction by using it to achieve well-defined uniformly-spaced enclosures over the entire wafer area8,9. Having a well-defined geometry where fluid can be introduced allows measurements to be performed in order to determine the effect of the confinement on the properties of the fluid. Hydrodynamic flows can be studied where the small dimension can be controlled from tens of nanometers to several micrometers.
SiO2 can be grown on Si wafers using a wet or dry thermal oxide process in a furnace. The SiO2 can then be patterned and etched as desired using lithographic techniques. Patterns which have been used in our work include a pattern of widely spaced support posts which results upon bonding in a planar or film geometry (see Figure 1). We have also patterned channels for one-dimensional characteristics, and arrays of boxes, either of (1 µm)3 or (2 µm)3 dimension1 (see Figure 2). When designing a confinement with boxes, typically 10-60 million on a wafer, there needs to be a way to fill all of the individual boxes. A separate patterning of the top wafer with a design that stands off the two wafers by 30 nm or more allows for this. Or, equivalently, shallow channels can be designed on the top wafer so that all the boxes are linked. The thickness of the oxide grown on the top wafer is different from that on the bottom wafer. This adds another degree of flexibility and complexity to the design. Being able to pattern both wafers allows for a larger variety of confinement geometries to be realized.
The size of the geometric features in these bonded wafers, or cells, can vary. Cells with planar films as small as 30 nm have been made successfully10,11. At thicknesses below this, overbonding can take place whereby the wafers bend around the support posts thus "sealing" the cell. Recently, a series of measurements on liquid 4He have been performed with an array of (2 µm)3 boxes with varying separation distance between them10,12. Features much larger in depth than 2 µm are not very practical due to the increasing length of time required to grow the oxide. However, measurements have been made with an oxide as thick as 3.9 µm9. The limits on the smallness of the lateral dimension arise from the limits of the lithography capabilities. The limit for the largeness of the lateral dimension is determined by the size of the wafer. We have successfully created planar cells where the lateral dimension spanned almost the entire wafer diameter, but one could just as easily imagine patterning several smaller structures on the order of tens of nanometers in width. However such structures would require e-beam lithography. We have not done this at this time.
In all of our work the bonded wafers formed a vacuum tight enclosure. This is achieved by retaining in the patterned oxide a solid ring of SiO2 of 3-4 mm in width at the perimeter of the wafer, see Figure 1. This, upon bonding, forms a tight seal. This design could be easily modified if one were interested in hydrodynamic studies which require an input and an output.
The bursting pressure of the bonded cells has also been tested. We found that with 375 µm thick wafers, pressure up to approximately nine atmospheres could be applied. However, we have not studied how this could be improved by bonding over larger oxide areas or, perhaps, for thicker wafers.
The procedure for interfacing the silicon cells to a filling line and the techniques for measuring the properties of the confined helium at low temperature is given in Mehta et al.2 and Gasparini et al.13 We note that changes in linear dimension for silicon are only 0.02% upon cooling the cells14. This is negligible for the patterns formed at RT.