(Fig.1) Today's useless atomic force (or scanning tunneling ) microscope with just one probe tip can only see (useless) planar flat molecules. Only multi-probe microscope can observe and manipulate various 3-dimensional molecules.
In 1980s, atomic force (and scanning tunneling ) microscopes (with only one probe tip ) for observing and manipulating single atoms were invented.
In 2009, Quartz (= qPlus ) sensors, which are much more sensitive and easier to handle than the conventional bulky light deflection cantilevers, were started to be used for atomic force microscopes (= AFM ) manipulating single atoms ( this p.4-qPlus sensor, this p.7-left-3rd-paragraph, this-3rd-paragraph, this-2nd-paragraph ).
But even now in 2025, today's atomic force microscopes (= AFM ) remain stuck in only one useless probe tip ( this Fig.2, this-p.2 ), which is useless, unable to manipulate various 3-dimensional atoms or molecules (= today's one-probe AFM can observe only flat small molecules such as benzenes, this p.4 ).
↑ We can know any 3-dimensional molecular structures by using the practical multi-probe atomic force microscopes, which can touch and know the target molecular atomic structures from various different angles by rotating them (= while one probe holds down the target molecule, the other probe can touch and investigate the molecular atomic structures ).
Surprisingly, even this most sensitive atomic force microscope based on quartz-sensor has Not changed its shape nor quality with No progress for 16 years since it was first used in 2009. ← Atomic manipulation nano-technology is deadend for a long time.
Almost all the present atomic force microscopes are used in biological researches just vaguely seeing cells or something, which No longer see single atoms ( this p.6 ) due to scientists intentionally refusing to make useful multi-probe atomic force microscopes for 40 years. ← Today's atomic nano-technology is regressing.
In fact, we already have the technology of making practical multi-probe atomic force microscopes (= with sensitive quartz sensors ) that will need the simple practical realistic atomic model with shapes measured by experiments (= treating atoms like the ordinary macroscopic parts ) instead of the impractical time-consuming quantum mechanical methods, to express various-sized molecules and proteins at the atomic level.
So we should immediately develop and make the useful atomic force microscopes with multiple probes freely manipulating single atoms and molecules (= this technology already exists, but has been intentionally ignored ) to clarify the detailed atomic mechanisms of proteins, biological reactions and cure diseases.
The present mainstream (fake ab-initio) quantum mechanical methods are useless, just artificially choosing (fake) unphysical atomic wavefunctions called basis sets, which are unable to predict any energies (= just art based on experience, Not science, this p.2-left ), and too time-consuming to express actual molecules.
To protect the useless, time-consuming unphysical quantum mechanical models such as fictional quasiparticles, one-electron DFT, MD, academia intentionally tries Not to make useful multi-probe atomic force microscopes that will make the useless quantum mechanics unnecessary and obsolete.
There are a few multi-probe atomic force microscopes, which are used only for measuring electrical conductance or potential, Not for manipulating atoms ( this p.12-3D molecules make No mention of aiming at multi-probe AFM ).
This abnormal situation where No money nor time has been spent on developing useful multi-probe atomic force microscopes (= curing diseases ) is in stark contrast to today's physics wasting too much time and money only on overhyped hopeless quantum computers and cryptography.
(Fig.2) Today's technology can easily prepare sharp probe tips (= cone angle is less than 30o, which is sharp enough to make multiple probe tips ) to which only one atom (= such as a CO molecule, a Cu atom ) is attached, which can precisely manipulate single atoms and build molecular devices.
Today's technology can easily make sharp probe tips with cone angle of less than 30 degree, less than 1nm tip radius ( this p.3-Methods, this p.2-last-paragraph, this 8th-paragraph ) whose apex has only one atom such as a CO molecule and a Cu atom.
We can attach or adsorb a sharp CO molecule to the apex of a single metallic atom which can be easily prepared by poking probe tips into metallic atoms ( this p.1-last-paragraph~p.2, this p.6-left-method-2nd-paragraph ).
↑ These mono-atomically sharp tips or CO-tips, which are already-existing technologies, are robust enough to manipulate target atoms and molecules ( this p.1-abstract-last, p.2~4 ).
By applying voltage through electrodes, today's atomic force microscopes can form artificial molecular bonds (and bond breakage ), which can be used for making various probe tips with desired atoms or molecules attached ( this p.4-5, this p.17-19, this p.2,p.5-left ).
Whether only one single atom is attached to the apex of a probe tip or not can be easily confirmed by touching the probe tip to a target CO molecule attached to the floor substrate, which is called carbon monoxide front atom identification (= COFI, this p.2, this p.3-right ), as shown in Fig.2-right-lower.
This p.9-methods-3rd-paragraph says
"Before we functionalized the tip apex with CO, we prepared metal tips ending in a single Cu atom by repeated
indentations between 300 pm and 1 nm into the Cu surface. Afterwards, we characterized the tip with the
Carbon-Monoxide-Front-Atom-Identification (COFI) method, and repeated the process of tip poking and
COFI characterization until we obtained the COFI portrait of a single-atom metal tip"
Atomic force microscopes with multiple probe tips, which need the tip conical angle shaper (= smaller ) than 90o, can be easily made by today's already-existing technology.
Physicists use only big qPlus quartz sensors that are easy to handle, because the quartz sensors are so sensitive that they do not need to make quartz sensors smaller to detect single atoms ( this p.11-13 ).
As shown in quartz crystal microbalance (= QCM ), the smaller and thinner quartz sensors are more sensitive with higher resonator fundamental frequency ( this-p.4-last-paragraph, this-p.2-right-3rd-paragraph, p.3-right-last-paragraph, this-p.2-2nd-paragraph ).
This p.3-left-last-paragraph says
"Therefore, thinning the
(quartz) oscillator significantly improves the sensitivity of
QCM ( this-p.3-1st-paragraph )"
So we can use the smaller, more sensitive quartz sensors suitable for multiple probe tips of atomic force microscopes.
(Fig.3) We should use the simpler practical atomic model with shapes which can be easily measured by today's atomic force microscopes as Pauli repulsion, instead of wasting time in useless, time-consuming quantum mechanical model.
Today's atomic force microscopes can easily and precisely measure each atomic and molecular shape as Pauli repulsion or weak van der Waals attraction ( this p.4, this p.4-8, this p.33-45 ).
So we should be able to treat each atom and molecule with known (= measurable ) shape as a real object or part with shape to clarify molecular mechanisms and design molecular devices by using practical multi-probe atomic force microscopes.
The current mainstream old unphysical quantum mechanical models such as Schrödinger equation and density functional theory (= DFT or Kohn-Sham KS theory ) unable to describe each atom as a real atomic object with shape have to rely on extremely time-consuming methods of integrating artificially-chosen (fake) wavefunctions with many freely-adjustable parameters, which is useless, unable to predict anything.
This p.20-last-paragraph says
"KS DFT is Not an ab initio theory (= DFT is just empirical, unable to predict anything, like the useless Schrodinger equations unsolvable for any multi-electron atoms ), because it does
not approach the exact solution"
↑ To protect this current too-time-consuming impractical quantum mechanical models lacking real atomic shape such as DFT, MD ( this-p.9-12 ), academia intentionallly hampers developing the useful multi-probe atomic force microscopes that will make the useless quantum mechanics unnecessary and obsolete.
(Fig.3') Physicists always try to use the impractical, time-consuming quantum mechanics or DFT model, which just hampers developing multi-probe atomic force microscopes.
Atomic force microscopes (= AFM ) manipulating single atoms weirdly have had only one useless probe tip for 40 years.
Only practical multi-probe atomic force microscopes can manipulate atoms and molecules freely enough to clarify various proteins' behavior at the atomic level and make useful molecular devices curing diseases like robots' hands.
↑ Practical multi-probe atomic force microcopes manipulating atoms is possible by using the cheap sensitive quartz sensors that can be easily miniaturized (= more sensitive. this-p.4-qPlus sensor, this-p.7-p.9 ) without bulky optical detection instruments, like the already-widely-used very sensitive useful quartz microbalance piezoelectric sensor ( this-p.3-1st-paragraph ).
But scientists intentionally try Not to make these useful multi-probe atomic force microscope though they already have that technology, and instead, waste money only in hopeless overhyped quantum computers and information that are impractical forever.
Because the present mainstream (very old) quantum mechanism atomic model (= unphysical wavefunction ) based on Schrödinger equation and density functional theory (= DFT ), which lack real atomic shape, are unreal, useless, too time-consuming ( this-p.1-abstract-upper ) to use for expressing actual molecular and proteins' behavior observed by the (useful) multi-probe atomic force microscopes.
If we use the more practical simpler atomic model with experimentally-measured actual shape (= contact force or real Pauli repulsion ) and viscosity, and treat each atom or molecule as a real object with shape, we can easily explain proteins' atomic behavior at the atomic level and design useful molecular devices by using atoms or molecules a real object and tool with shape.
↑ Quantum mechanics has to take too much time in repeatedly integrating the artificially-chosen (fake) atomic wavefunctions with No shape ( this-p.15, this-p.2-left-last ), while the real simple atomic model with actual shape does Not need to waste time in this meaningless integration of wavefunctions (for unphysical exchange energy ).
We should just use the actual atomic ( and molecular ) shapes and potentials experimentally measured by (multi-probe) atomic force microscopes, and do Not need to waste too much time in meaningless quantum mechanical wavefunction ( integral ) calculations.
So just to protect the old useless quantum mechanical fictional atomic model and the meaningless time-consuming wavefunctions, the academia and physicists intentionally avoid making useful multi-probe atomic force microscopes that will need the simpler practical atomic model with shape and make the useless quantum mechanical (or DFT ) wavefunctions unnecessary and obsolete.
Due to impractical Schrödinger equation ( this-p.5 ), scientists rely on today's most popular quantum mechanical approximation called DFT to express the whole molecule and the microscope's tip as one pseudo-electron wavefunction or fictitious quasiparticle model lacking real atomic picture ( this-p.5-right, this-last, this-p.15 ).
Like Schrödinger equation, this approximate DFT has to artificially choose fake electron's wavefunction or basis sets ( this-p.8-2.6, this-p.3 ) lacking real atomic shape, which unphysical quantum wavefunctions can Not be used as real objects or tools with shape for building useful molecular devices.
↑ Artificially choosing fake trial wavefunctions (= basis sets ) and exchange pseudo-potential (= functional ) means quantum mechanics and DFT are useless, unable to predict any physical values (= DFT is empirical, this-p.23-lower, this-p.5-1.3, this-p.21-2.3.6 ), just inconveniently too time-consuming.
This-p.10-last paragraph says
"The effectiveness of DFT is highly dependent on the choice of exchange-correlation functional, which may not accurately capture all correlation effects,... the calculations of exchange-correlation
energies can still be demanding." ← useless, just time-consuming
Instead of using the ( unphysical ) quanum wavefunctions as real objects with shape, physicists have to integrate the artificially-chosen fake electron's wavefunction and DFT energy equation to obtain fake average atomic energy.
And they differentiate the energy equation with respect to coefficient parameters (= c ) of the chosen wavefunction or basis sets ( this-p.5 ) to find coefficients that give the lowest (fake) atomic energy within the chosen wavafunction in variational method ( this-p.5-5 ).
They have to repeat this extremely time-consuming quantum mechanical methods of integrating and differentiating the DFT energy equations until the coefficient parameters luckily converge to some values, which old inefficient method is called self-consistent-field (= SCF, this-p.9, this-p.2-8, this-p.6-18, this-p.3 ) iteration hampering science.
↑ This extremely time-consuming impractical quantum mechanical SCF iterative calculations often fail to get the converged parameters of the chosen fake wavefunctions.
This-lower SCF convergence says
"Conventional electronic-structure-theory-based methods like DFT rely on a self-consistent-field (SCF) process, where an initial guess for the electron density is generated and then iteratively refined through repeated computation of electron–electron repulsion. This process frequently exhibits chaotic behavior, and SCF convergence can become extremely time-consuming or even impossible."
To explain the interaction between the molecule and atomic force microscope's probe tip, they have to repeat this extremely time-consuming SCF energy calculations by choosing different fake wavefunctions (= and repeatedly updating their coefficients parameters until they converge ) in many different positions of the atoms of the molecule and the tip.
↑ This impractically time-consuming repeated SCF energy calculations by choosing many different wavefunctions (+ repeatedly updating parameters ) in many different atomic or tip's positions is called geometry optimization ( this-last-calculation method ) or relaxation ( this-p.28-53, this-p.3, this-p.18, this-p.6-2nd-paragraph ).
This-3rd-paragraph says
"the geometry optimizer proceeds to update the atomic positions and rerun ( time-consuming ) SCF (= which often fail, this-p.22, this-p.31-2nd-paragraph )."
This-p.2-1st-paragraph says
"In geometry optimization, a stationary point on a potential energy surface (PES) is explored
by iteratively calculating the energy and gradients of a molecule while changing its atomic
coordinates step by step (= in each different atomic position, they have to conduct the extremely time-consuming DFT SCF energy calculations )".
This-p.4-right-2nd-paragraph says
"the calculation of forces on one iteration of
the geometry optimization requires 6N +1 separate SCF runs
where N is the number of atoms" ← Just calculating force on each atom requires 6 × time-consuming repeated SCF energy calculations of artificially-chosen wavefunctions, impractical.
This-p.3-upper says
"in the determination of the tip–sample
forces,... This can be done with standard DFT codes but it's time consuming"
For example, the geometry optimization took extremely much time = a week for this impractical quantum mechanical SCF to calculate some small molecular energy observed by the atomic force microscope (= AFM ) with only one tip. ↓
This-p.4-5th-paragraph & p.5-2nd-paragraph-last say
"The
interaction energies of the tip and the sample molecule (without substrate) were
calculated for various lateral positions with a lateral spacing of 0.1 Å and for tip heights
ranging from d = 3.95 Å to d = 3.35 Å with a vertical spacing of 0.025 Å. To obtain the
frequency shifts (= Δf, p.3-top ), the interaction energies were numerically differentiated twice with
respect to d"
"The calculation of the Δf(x) line profiles (= frequency f shift or energies calculated by DFT in various different tip positions ) took about a week computation time on a large computer facility. ← too time-consuming, impractical ( this-p.3-1st-paragraph )."
This-p.2-right says
"to
explore the topology of the PES (= potential energy surface ) of docosahexaenoic acid (DHA)
With DFT methods, this analysis would require more than a
year of computation time" ← too time-consuming, useless for any applied science, medicine.
We should replace this impractical time-consuming quantum mechanical wavefunction by the much simpler atomic model with experimentally-measured shape for the practical multi-probe atomic force microscopes to clarify complicated proteins at the atomic level and cure diseases.
(Fig.4) The use of many-probe, multi-probe atomic force microscopes can efficiently, speedily generate artificial chemical reactions and desired molecular bonds.
Unlike the useless one probe, atomic force microscopes with multiple probes can observe, analyze, manipulate any forms of molecules and proteins (= in case of a large protein, breaking the protein little by little using artificial molecular bond dissociation through applying voltage enables us to know the precise outer and inner protein structure by the multi-probe atomic force microscope, this p.21 ).
Of course, the practical multi-probe atomic force microscope can design and build useful molecular devices (= used for artificial efficient photosynthesis based on artificial catalysts and curing cancers ) by manipulating single atoms, using realistic atomic model with shape (= instead of the unphysical impractical quantum mechanical shapeless atomic model ).
Efficient speedy chemical reactions forming artificial covalent bonds between the designated atoms of molecules, which are impossible otherwise, are possible using multi-probe atomic force microscopes.
In the process of the speedy artificial chemical (= molecular bond ) reactions, first we deposit distilled pure molecules over a substrate (= by vacuum deposition or something ).
If we put some different marks or narrow lines (< 10nm ) with slightly different heights (or different lengths, widths ) or consisting of different atoms on different positions of the substrate, we can know the positions of each probe (and deposited molecules ) immediately when tips touch the substrate surface.
Next, we can know the positions of target molecules deposited over the substrate by using non-contact (= high-resolution quartz sensor ) atomic force microscope with many probe tips (= each probe can move in z direction independently to detect target molecules with different heights automatically at very high speed. All these many probes are moved together in x,y directions ).
↑ A probe tip can be moved (= displaced ) up to the distance of 0.1% of the piezo electric material (= actuator ), so moving atoms 1μm needs 1mm piezo electric material ( this p.3-left, this 4~6th-paragraphs ).
↑ Moving each probe of many probes in x-y directions independently needs much space of the piezo material (= 1mm × 1mm ) in each probe, while moving each probe only in z direction independently does not need so much space (= just tiny 1μm × 1μm space in x,y directions is OK ), which can increase the dense of probes (= many compact probe tips ) and speed up the atomic force microscope finding all target molecules deposited over the substrate.
After knowing the positions of target molecules on the substrate by many probes, we can move those molecules by an atomic force microscope with multiple probes (= manipulating single molecules freely in x,y,z directions ) from the substrate to some designated places where many artificial covalent bonds can be formed simultaneously by applying voltages between two molecules placed on designated positions.
As a result, the fast, practical mass production of artificial molecules with desired covalent bonds (= which are impossible in other ways ) is possible in the atomic force microscope with multiple probe tips manipulating single molecules.
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