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Dr. Tran Ngoc Quang Phi
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Backgrounds
Angle classification
Six keys Andrew
Crown form
Arch form 
Bolton analysis
Golden proportion
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Angle Classification
Malposition → individual tooth
Buccal or labial, lingual, mesial, distal, torso (rotation), infra 
and supra. 
Impacted 
Malocclusion → anteroposterior relationships of  
permanent first molars and canines. 
Canine relationship: 
The upper canine fits distal to the lower canine
Molar relationship 
Class I: normal relationships → mesial buccal cusp 
UFM≡mesial sulcus LFM.
Class II: distal buccal cusp UFM≡mesial sulcus LFM
Class III: buccal cusp USP≡mesial sulcus LFM
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Angle classification extension
Class II division 1: 
Narrowing of the upper arch, lengthen and protruding UC. 
Abnormal function of the lips, nasal obstruction, mouth 
breathing. 
Class II division 1 subdivision: class I on one side. 
Class II division 2: 
Crownding, overlaping and lingual inclination UC
Normal nasal and lip function
Class II division 2 subdivision: class I on one side. 
Class III subdivision: class I on one side. 
Mild class II: between class I and class II
Mild class III: between class I and class III
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Class I Molar or Class I Canine?
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♦
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♦ ♦
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Four items that you "must complete" for 
successful orthodontic treatment
1. The teeth must be straight at the end of treatment. 
2. There must not be any spaces between the front 
teeth. 
3. There must not be any overjet (the patient refers to 
overjet as "overbite"). 
4. The teeth must (generally) bite together at the end 
of treatment. It is OK to have a bicuspid out of 
occlusion, but the teeth must not be open molar to 
molar. 
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Six keys Andrew
1. Molar relationship : 
Class I Angle
Cusp‐embrasure relationship buccally
Cusp‐fossa relationship lingually
2. Crown angulation: 
All tooth crowns are angulated mesially (mesio‐distal tip)
3. Crown inclination: 
Incisors are inclined labially
Upper posterior teeth are inclined lingually, similarly from 
the canine to the premolars; upper molars are inclined 
slightly more than the canine and the premolars.  
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Angulation and inclination
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Lower posterior teeth are inclined lingually, 
progressively from canine to molars
4. Rotations:
Rotations are not present 
5. Spaces
Spaces are not present between teeth
6. Curve of Spee
The plane is either flat or slightly curve
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Curve of Spee
Yes                                No
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Anterior Crown form
Central incisor crown 
form:
•Triangular‐shaped 
incisors: need to be 
reshaped to avoid one‐
point contact (→ black 
triangle and unstable)
•Rectangular‐shaped 
incisors: good esthetics
•Barrel‐shaped incisors: do 
not provide ideal esthetics 
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Canine crown form
Markedly curved facial contour
Narrow and pointed incisally Wide and flattened incisally
Relatively flat facial contour
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Arch form
Square             Ovoid               Tapered
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The original arch form is considered the most stable 
position since this is the "in balance" position of the 
teeth and surrounding muscles: the neutral zone.
Any alteration of this position may result in instability 
in retention.
Relapse  tendency after changing arch form (De La 
Cruz‐1995, Burke‐1998): inter‐canine width. 
Expansion the lower arch form: 10%.
Tapered Ovoid Square
Japaneses 12% 42% 46%
Caucasians 44% 38% 18%
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Systemized management of arch form 
Determine the arch form at the start of treatment
Template  ♦
Computerized  cast analysis @
Arch wire stocked:
Round arch wire (NiTi and SS): ovoid only
.019/.025 (.018/.025 ) HANT: three shapes
45% ovoid 
45% square
10% tapered
.019/.025 (.018/.025 ) SS: ovoid only →
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♦
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Bolton analysis
Anterior Bolton analysis
Max 6: 40.0 – 54.5 (+0.5)
Mand 6: 30.9 – 42.1  (+0.4) 
Overall Bolton analysis
Max 12: 85 – 110 (+1)
Mand 12: 77.6 – 100.4 (+ 0.9)
Ideal ratio → canine class I
Determine distance between hooks or loop 
Bolton discrepancy → proper solution 
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Anterior Bolton analysis      Full archBolton analysis
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Ideal ratio in Bolton analysis
Maxillary 6 Mandibular 6 Maxillary 12 Mandibular 12
40.0 30.9 85 77.6
40.5 31.3 86 78.5
41.0 31.7 88 80.3
41.5 32.0 89 81.3
90 82.1
48.0 37.1 91 83.1
48.5 37.4 96 87.6
97 88.6
51.5 39.8 103 94.0
52.0 40.1 104 95.0
106 96.8
54.5 42.1 107 97.8
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Application? 
•Chose the T –loop arch wire 
•Adjust for the best fit occlusion
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Golden proportion
618.1=
==
+
ϕ
ϕ
b
a
a
ba
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→
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DIAGNOSIS 
Collect data
Orthodontic questionaire
Clinical examination
X‐rays : POG and CEP
Models
Pictures
Cephalometric analysis
Model anlysis
→ Diagnosis: problem list
37
Orthodontic Questionaire
MEDICAL HISTORY
Under a physician's care at this time? Yes/No. Explain
Taking any medication at this time? Yes/No.  Specify 
Allergic to any medication? Yes/ No. Specify 
Any other allergies? Yes/No.  Specify 
Need to be premedicated (antibiotics) for routine dental 
procedures? _Yes _No. Specify and  reason 
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Following diseases or conditions? (If yes, explain and 
date):
AIDS__ Bleeding disorder __ Anemia__ 
Lung disease__ Cerebral palsy__ Heart condition__ 
Arthritis__ Hepatitis__ Kidney disease__Rheumatic
fever___ Asthma__ Diabetes__ Epilepsy__
Injury to face/head__
Tonsil/adenoid surgery__ Previous surgery__ 
Females: Is the patient pregnant? __ Yes __ No
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DENTAL HISTORY
Date of last dental examination 
Any injury to the face/teeth/gum? Explain and date.
Any previous orthodontic treatment/consultation? 
Does the patient:
Grind his/her teeth at night? 
Bite his/her fingernails? 
Suck thumb, finger, pacifier, etc.? 
If yes, at what age was the habit discontinued? __years
Has another member of the family had orthodontic 
treatment? Whom? 
40
Medical conditions to be considered in 
orthodontic treatment
Medical condition Implications Action
Asthma Root resorption Monitor every 6 mo for  evidence 
of EARR
Allergies Allergic reaction Determine materials causing 
allergy
Coagulation disorders Bleeding risk Extraction?
Diabetes Periodontal disease Monitor  adequate control of 
diabetes
Epilepsy, High blood 
pressure
Gingival 
hypertrophy
Plaque control, gingivectomy if 
necessary
Heart valve conditions Endocarditis Premedication when extraction, 
fitting bands
Rheumatoid arthritis TMJ degeneration Monitor TMJ
Xerostomia Caries  Fluoride supplement
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PATIENT'S ATTITUDE AND MOTIVATION 
Is the patient aware of the problem? 
Consultation here prompted by _________________
Patient's interest in having treatment is: 
__ Wants treatment ___ Willing if necessary __ Unwilling
If the patient’s teeth were to be changed, how would you 
like them changed? _______________________________
If any features of the face could be changed, what would 
you like to see? ___________________________________
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GROWTH STATUS: (child patients only)
Height__________ cm  Weight _________kg
Females: Has the patient started her menstruation? 
__ Yes __ No. If yes, at what age? ________
Males: Voice changes? __ Yes __ No 
Facial hair growth? __ Yes __ No
Has the patient had any recent rapid growth? ___________ 
If so, how much?_______________
43
Rational for Orthodontic questionaire
Chief complaints
Determine patient’s motivation, expectation
Medical and Dental history
Reveal the causes of problems
Relation between the patient’s conditions and 
orthodontic treatment
Growth and development
Timing of orthodontic treatment
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CLINICAL EXAMINATION
Esthetic analysis
Macro esthetics: facial proportion
Mini esthetics: tooth – lip relationships
Micro esthetics: dental appearance
Functional analysis
TMJ
Occlusion 
Periodontal health
Bad habit
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Macro esthetics: facial proportion 
General view
Dolicofacial,  brachyfacial, mesiofacial →
Frontal view
Vertical 
Proportion
Chin height 
Lower face height
Horizontal 
Proportion: rule of  fifth
Midline asymmetry
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Vertical proportion
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Horizontal proportion
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The lower third @
A. Increase face height:
Dolicofacial pattern
Vertical maxillary excess (VME) ♦
High lip line: anterior  teeth display too much 
Gummy smile
Lip length: normal 
≠ Short lip ♦
Excesssive chin height ♦
B. Decrease face height
Brachyfacial pattern
Vertical maxillary deficiency
Mandibular defienciency ♦
Short chin height ♦
49
Dolicofacial
•Long and thin faces. Weak 
muscles of mastication that are 
not strong enough to hold the 
teeth together during 
orthodontic treatment. 
•Non extraction treatment of 
these cases may result in bite 
opening during the treatment. 
•When extraction, space closes 
quickly.
Be careful  when treating a 
protrusion case  
50
Mesiofacial
•Mesiofacial is not long and 
thin facial features, and not 
short and square facial 
features. 
•In these cases you can extract 
and the extraction spaces will 
close "normally". 
•You can treat these case types 
non extraction and the teeth 
will remain in occlusion 
during treatment.
51
Brachyfacial
•Short, square faces with 
very strong muscles of 
mastication.
•Short clinical crowns with 
some excess enamel wear on 
the occlusal surface of the 
teeth. 
•In these cases, if you 
extract, then the extraction 
spaces will close slowly. 
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♦
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♦
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Pre‐orthodontic               Post‐
orthodontic@
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@@
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Short lip: @
Philtrum height < commisure height 
Inverted lip
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Asymmetry
Upper midline asymmetry
Orthodontist : < 2mm
Dentist : 2 – 4mm
Non‐professional person: >4mm
Lower midline asymmetry
Cause 
Upper : missing tooth, impacted tooth, crowding…
Lower: causes as upper arch, esp: TMJ
Always the tough cases
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Profil view
Proportion 
Convex, straight, concave
Straight: anterior divergence, posterior divergence
Mandibular plane angle
Lower face
Maxillary projection
Mandibular projection
Chin projection
Lip 
Lip posture and incisor prominence
Lip fullness
Labiomental sulcus
Throat form 
Chin – throat angle 
Throat length
Submental contour
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Profil view
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Black pattern
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Convex treatment?
Be careful not to set the patient's expectations too 
high for reducing a convex profile: it takes 2‐3mm of 
tooth retraction to result in 1mm of lip retraction.
Move the chin forward to reduce feeling convex
Lefort I + BSSO for comprehensive treatment
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Mini esthetics: Tooth – lip relationship
Philtrum height
Commisure height
Interlabial gap
Incisal display at rest
Smile analysis
Emotional smile and social smile
Incisal display on smile
Gingival display 
Smile arc
Buccal coridor width
Arch form
Transverse cant
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Vertical measurements
A: Philtrum height
B: Commisure height
C: Interlabial gap
D: Incisal display at rest
A: Incisal display on smile
D: Smile arc
C: Gingival display 
B: Crown height  and width
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Emotional smile and social smile
Major zygomaticus muscle Risorius muscle
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Smile arc
The contour of the incisal edges of the maxillary anterior 
teeth relative to the curvature of the lower lip during a 
social smile
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Transverse cant
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Gummy smile
Crown lengthening
Orthodontic treatment
Lefort I Osteotomy
Plastic surgery
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Micro esthetics: 
gingival and dental appearance 
Tooth proportion: crown height and width
Width relationship and golden proportion
Gingival height , shape and contour
Connectors and embrasures
Tooth shade and color
75
Crown height and width
The width of central 
upper incisor should be 
about 80% of it’s height.
The disproportion 
should be done before 
orthodontic treatment is 
completed. 
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Width relationship and golden proportion
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Gingival shape and contour
Gingival shape of upper 
central incisors and canines 
is more elliptical.
Gingival shape of upper 
lateral  incisors and 
mandibular incisors  is a 
symmetric half‐oval or half‐
circular one.
The gingival zenith of 
central and canine is located 
distal to the longitudinal 
axis. 
The gingival zenith of lateral 
incisors coincides with the 
longitudinal axis. 
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Connectors and embrasures
Connector # contact point area:
Include the areas above and below 
the contact point.
Greatest between the central incisors 
and diminish from the centrals to the 
posteriors. 
Embrasures: triangular spaces incisal
and gingival to the connector. 
Gingival embrasures are filled by 
interdental papillae. 
Short interdental papillae → black 
triangle. 
Tapered crown form → black triangle
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Clinical considerations
Open bite
Tongue thrust
Functional shift
Missing tooth 
Lower Anterior Tissue Thickness
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Open bite 
Principle: Teeth erupt until they hit something. 
Open bite: the lower 
incisor does not contact 
the upper incisor. There 
are obvious open bite 
cases where the teeth are 
separated in the anterior. 
In some class II cases 
where the amount of 
overlap of the upper 
incisor vs. the lower 
incisor is normal (1/3 
coverage), but the lower 
incisor does not contact 
the tooth nor the palate. 
81
Tongue thrust
A test for anterior tongue thrust is to: 
Take a small sip of water. 
Close the teeth together with the lips open. 
Swallow. 
A patient with an anterior tongue thrust will either: 
Not be able to keep his/her lips open. 
Will tilt his/her head back for gravity to keep the water from squirting 
forward. 
Will squirt the water between the teeth forward onto their shirt (child 
patient). 
A good exercise to give a patient with an anterior tongue thrust
(especially in the presence of open bite or excess anterior overjet) is: 
Take a small sip of water. 
Close the teeth together with the lips open. 
Swallow with the throat muscles. Tell the patient to hold their hand 
on their throat as they learn this exercise to feel the muscle 
contraction. 
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Functional Shift
Forward  functional shift
Lateral functional shift 
Unilateral crossbite
Dental midlines not 
centered.
The asymmetric face 
from the frontal view.
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Missing Tooth
This seems very obvious, but in many cases where a 
tooth has been lost, the space has closed 
spontaneously by dental drifting. It is very easy to not 
notice a missing tooth in a dental arch when doing 
your examination. 
Be certain that you count 4 incisors, 2 canines, 4 
bicuspids, etc. in each arch, before checking "none." 
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Lower Anterior Tissue Thickness
Principle: The lower arch is considered the limiting 
arch in edgewise diagnosis. 
To align crowded teeth, advancement (forward 
movement) of the teeth will inevitably occur. 
If the advancement of the lower incisors is significant, 
then a periodontal defect (stripping of gingival tissue 
is the most common) can occur. 
Advancement of incisors with "thin tissue" has more 
risk than advancement with "thick tissue" labial to the 
lower incisors. As the teeth advance, the tissue will 
become thinner. 
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Cephalometric analysis: lanmarks
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Planes
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Growth direction
90
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92
93
94
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SNB
Mandible is protrusive if > 83
Mandible is average if  76 – 82 
Mandible is retrusive if <75
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Cephalometric analysis – Skeletal 
Description  Measurement Mean  Range 
Pal. plane to Md. Plane: Skeletal 
Open/closed
ANS‐PNS to Md. plane 280 Closed 240 – 330 Open
Md. Plane angle:  Skeletal Open/closed FH – MA:  Child 
Adult 
260
220
Closed 200 – 300 Open
240 – 330
Y – Axis Vert/Hor Growth SGN ‐ FH 590 Hor.  570 – 620 Vertical
Maxilla to Cranium N ⊥ A +1mm Retruded ‐1 to +3 Protruded
Maxilla to Cranium SNA 820 Retruded 760 – 830 Protruded
Mandible to Cranium N ⊥ Po : Child 
Adult
‐7mm
‐1mm
Retruded ‐10  to ‐4 Protruded
‐4 to ‐1
Mandible to Cranium SNB 790 Retruded 750 – 830 Protruded
Maxilla to  Mandible ANB 20 Class I : + 20 to +4.50
Class III tendency: +0.50 to +1.50
Wits  A, B  ⊥ Occlusal plane 0 mm Class I :  ‐1  to +2
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102
103
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105
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Cephalometric analysis –
Dental 
Description  Measurement Mean  Range 
Interincisal Angle  to   1300 Best finish 125 0 – 1300
Lower Incisal Inclination to  MP  920 Retroclined 890 – 980 Proclined
Lower Incisal Protrusion to   NB +4mm Retruded +1 to +6 Protruded
Lower Incisal Protrusion to   APo +2mm Retruded 0 to +4 Protruded
Upper Incisal Inclination to   SN 1030 Retroclined 990 – 1060 Proclined
Upper Incisal Protrusion to    APo 5mm Retruded +2  to +7 Protruded
Upper Incisal Protrusion to    A vertical 
(to FH)
4mm Retruded +2  to +6 Protruded
1
1
1
1
1
1
1
1
1
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Cast analysis
108
109
Cast analysis by software
110
Advantages of computerized analysis
Accurate
Easy
More information:
Arch form 
Loop distance (Bolton analysis)
Determine asymmetric Arch 
Space analysis
Rotation 
Prediction 
111
DETERMINE THE PROBLEMS
Kind of problems: 
Dental problems
Skeletal problems
Facial problems
Occlusal problems
TMJ problems
Periodontal problems
Causative factors
Degree of problems
112
Ackerman and Proffit diagram
Aligment (spacing and crowding)
Profile (convex, straight, concave)
Sagittal deviation (Angle class)
Vertical deviation (deep bite, open bite)
Transsagittal deviation (combine Angle class  and cross 
bite)
Sagittovertical deviation (combine Angle class  and deep 
bite or open bite)
Verticotransverse deviation (combine cross bite and deep 
bite or open bite) 
Transsagittovertical deviation (combine  of problems in 
three planes of space)
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DENTAL PROBLEMS
Intra‐arch problems
Inter‐arch problems
Causative factors
Degree of the dental problems
115
Intra‐arch problems
Position :
Protrusion or retrusion of incisors
Malposition
Impaction 
Rotation
Angulation
Inclination: 
Procline or recline
Spaces:
Spacing or crowding
Curve of Spee
116
Inter‐arch problems
Molar relationship 
Class I, II, III
Canine relationship
Class I, II, III
Vertical relationship: 
Overbite, deep bite, open bite 
Horizontal relationship: 
Overjet, end‐to‐end, anterior crossbite.
Posterior crossbite
Upper and lower incisor angulation
Inter‐arch discrepancy
Midline relationship:
Midline asymmetry
117
Causative factors
Spacing
Large jaw
Small teeth
Missing teeth
Lateral over‐expansion of arches or forward proclination of 
anterior teeth. 
Crowding
Small or constricted arches
Large teeth
Retroclination
Mesial drift of posterior teeth
118
Openbite
Bad habit: thumb sucking, finger sucking or pacifier 
using, tongue thrush, lip habit.
High tongue posture
Airway obstruction: allergies, enlarged tonsils, 
adenoids, septum problem…
Intracapsular TMJ problems
Skeletal growth abnormalities
119
Diagnosis of Impacted Teeth
Impacted Teeth : not erupted for 2 years following the 
normal eruption age.
The eruption path is blocked, or if the eruption stops after 
the tooth strays to a position labial or lingual to another 
tooth. 
The most common impaction: the upper canine. 
DIAGNOSIS OF AN UPPER IMPACTED CANINE
Panoramic x‐ray: Any overlap of the canine crown with the 
lateral incisor roots → impaction?. 
Palatal or labial?
Palpate the labial tissue
Occlusal x‐ray
120
Crowding and impacted tooth
The "impacted tooth" may be BLOCKED OUT of the 
arch because of crowding: in a good position but 
cannot erupt due to a lack of space →blocked out. 
Evaluate the root formation to determine eruption 
potential: incomplete root formation → eruption 
potential. 
Tx: space is made with open coils or extraction and a 
deadline # 12 months is set to wait for its eruption.
121
Consideration in impacted tooth
Position: labial (good) or palatal
Angulation: the more vertical the more success
Space available: enough?
The path to the correct position?
The age: best under 25
The risk: 
Ankylosis
Damage the adjacent teeth
122
Degree of problems: 
Diagnostic Parameters
1. Canine and  molar relationships: RM, RC, LM, LC
2. Angle classification 
3. Overbite
4. Overjet
5. Stage of dental development
6. Presence of crossbite: with or without functional 
shift
7. Space analysis
8. POG interpretation
9. CEP interpretation
123
1. Canine and  molar relationships: RM, RC, LM, LC
a. Class I
b. Class II*
c. Class III*
d. Not fully erupted
2. Angle classification 
a. Class I malocclusion 
b. Class II malocclusion, division 1, 2 and subdivision*
c. Class III malocclusion, subdivision*
124
3. Overbite
a. Normal (5 % ‐ 20%)
b. Moderate deep bite (20% ‐ 50%)
c. Severe deep bite ( > 50%)*
d. Edge to edge 
e. Anterior open bite
4. Overjet
a. Normal (1 – 3mm)
b. Excessive ( > 3mm)*
c. Edge to edge 
d. Underjet (negative overjet)  
125
5. Stage of dental development
a. Deciduous dentition 
b. Early Mixed dentition
c. Late Mixed dentition
d. Permanent dentition 
6. Presence of cross bite: with or without functional shift
a. None 
b. Anterior 
c. Posterior
d. Both 
126
7. Space analysis
a. Adequate arch length ( +1 to ‐1mm)
b. Mild crowding (‐2 to ‐3mm)
c. Moderate crowding (‐4 to ‐6mm) or Severe (> ‐6mm)
d. Mild spacing (1 – 3mm)
e. Moderate spacing (4 to 6mm) or Severe (> 6mm)
8. POG interpretation
a. Normal 
b. Abnormal: missing, supernumerary, ectopic, impacted 
tooth) 
9. CEP interpretation
a. Normal 
b. Beyond the normal range: 1 SD
c. Beyond the normal range: 2 SD
d. Beyond the normal range: 3 SD

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